How do you subtract two mixed numbers?

Current Version

$57 \frac{9}{20}$

or

$57.45$

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve

$95 \frac{1}{5} - 37 \frac{3}{4}$

you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get

$95 \times 5 + 1$

for the first mixed number, and

$37 \times 4 + 3$

for the second. This comes out as

$\frac{476}{5} - \frac{151}{4}$

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both $4$ and $5$).

The smallest common denominator for this is $20$, so for the first fraction, to get to $20$ we have to times the denominator by $4$, so we times the whole fraction by $4$ to give

$\frac{476}{5} \cdot \frac{4}{4} = \frac{1904}{20}$

For the second fraction, the denominator has to be multiplied by $5$ to make $20$, so the fraction comes out as

$\frac{151}{4} \cdot \frac{5}{5} = \frac{755}{20}$

You then take the numerators away from each other, so

$\frac{1904}{20} - \frac{755}{20} = \frac{1149}{20}$

This can then be turned back into a mixed number of $57 \frac{9}{20}$, as $20$ goes into $1149$ exactly $57$ times, with a remainder of $9$.

Edit History
• @stefan-zdre Stefan V.
1 year ago
Changes | Side by side
57 9/20 (or 57.45) In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4. Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20. You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.
57 9/20 or 57.45 In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve >95 1/5 - 37 3/4 you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get >95 xx 5 +1 for the first mixed number, and >37 xx 4 +3 for the second. This comes out as >476/5 - 151/4 Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give >476/5 * 4/4 = 1904/20 For the second fraction, the denominator has to be multiplied by 5 to make 20, so the fraction comes out as >151/4 * 5/5 = 755/20 You then take the numerators away from each other, so >1904/20 - 755/20 = 1149/20 This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 exactly 57 times, with a remainder of 9.
From

57 9/20 (or 57.45)

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4.

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20.

You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.

To

$57 \frac{9}{20}$

or

$57.45$

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve

$95 \frac{1}{5} - 37 \frac{3}{4}$

you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get

$95 \times 5 + 1$

for the first mixed number, and

$37 \times 4 + 3$

for the second. This comes out as

$\frac{476}{5} - \frac{151}{4}$

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both $4$ and $5$).

The smallest common denominator for this is $20$, so for the first fraction, to get to $20$ we have to times the denominator by $4$, so we times the whole fraction by $4$ to give

$\frac{476}{5} \cdot \frac{4}{4} = \frac{1904}{20}$

For the second fraction, the denominator has to be multiplied by $5$ to make $20$, so the fraction comes out as

$\frac{151}{4} \cdot \frac{5}{5} = \frac{755}{20}$

You then take the numerators away from each other, so

$\frac{1904}{20} - \frac{755}{20} = \frac{1149}{20}$

This can then be turned back into a mixed number of $57 \frac{9}{20}$, as $20$ goes into $1149$ exactly $57$ times, with a remainder of $9$.

• @kelly-19 kelly New contributor! updated the answer. This is one of their first answers! Leave friendly feedback in the comments and welcome them to Socratic.
1 year ago
Changes | Side by side
57 9/20 In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4. Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20. You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.
57 9/20 (or 57.45) In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4. Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20. You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.

57 9/20

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4.

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20.

You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.

To

57 9/20 (or 57.45)

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve 95 1/5 - 37 3/4, you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get 95x5 +1 for the first mixed number, and 37x4 +3 for the second. This comes out as 476/5 - 151/4.

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both 4 and 5). The smallest common denominator for this is 20, so for the first fraction, to get to 20 we have to times the denominator by 4, so we times the whole fraction by 4 to give 1904/20. For the second fraction the denominator has to be multiplied by 5 to make 20, so the fraction comes out as 755/20.

You then take the numerators away from each other, so 1904/20 - 755/20 gives 1149/20. This can then be turned back into a mixed number of 57 9/20, as 20 goes into 1149 57 times, with a remainder of 9.

• @kelly-19 kelly New contributor! wrote an answer. This is one of their first answers! Leave friendly feedback in the comments and welcome them to Socratic.
1 year ago