What is 3/12 equivalent to?

Question

What is 3/12 equivalent to?

2 Answers

Impact of this question

36300 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-20T21:31:36

1/4

Explanation:

We want to simplify using common divisors.

We know that 3 is prime, so it can only be written as $1 \cdot 3$ $1*3$ .

We know that 12 is composite, so it can be written as $1 \cdot 2 \cdot 2 \cdot 3$ $1 * 2 * 2 * 3$ .

The only common divisor (other than 1) is 3. Therefore, we can take out three from both and get

$\frac{3}{12} = \frac{1 \cdot 3}{1 \cdot 2 \cdot 2 \cdot 3} = \frac{1}{1 \cdot 2 \cdot 2} \cdot \frac{3}{3} = \frac{1}{4}$ $3/12 = (1 * 3) / (1 * 2 * 2 * 3) = 1 / (1 * 2 * 2) * 3/3 = 1/4$

Answer 2 · 2018-03-20T21:39:29

$\frac{1}{4}$ $1/4$

Explanation:

$Equivalent fractions can be formed by multiplying or$ $"Equivalent fractions can be formed by multiplying or"$
$dividing the numerator/denominator of a fraction by$ $"dividing the numerator/denominator of a fraction by"$
$the same value$ $"the same value"$

$dividing 3 and 12 by 3 using cancelling gives$ $"dividing 3 and 12 by 3 using cancelling gives"$

$cancel(3)^1/cancel(12)^4=1/4larrcolor(blue)"in simplest form"$

$"a fraction is in "color(blue)"simplest form ""when no other factor"$
$"but 1 will divide into the numerator/denominator"$

$"multiplying numerator/denominator by the same value"$
$"also gives equivalent fractions"$

$(3xxcolor(red)(2))/(12xxcolor(red)(2))=6/24$

$(3xxcolor(red)(3))/(12xxcolor(red)(3))=9/36$

$1/4,6/24" and "9/36" are some examples of fractions"$
$color(white)(xxx)"equivalent to "3/12$

Science

Math

Humanities

... and beyond

What is 3/12 equivalent to?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question