How do you solve 20 1/2 div 3/42012÷34?

2 Answers
Oct 20, 2016

27 1/32713

Explanation:

Convert the improper fraction to a improper fraction

20 1/2 = (20*2+1)/2=41/22012=202+12=412

So the problem becomes

41/2 div 3/4412÷34

Now you have to multiply by the reciprocal

41/2 * 4/341243

Cross cancel

41/cancel2 * (2cancel4)/3412243

Multiply numerators and then denominators

41/1 * 2/3 = 82/341123=823

Convert to an improper fraction

82/3=27 1/3823=2713

For another explanation please see the following tutorial.

Oct 20, 2016

27.33 or 82/327.33or823

Explanation:

When dividing fraction, you are actually multiplying by the reciprocal.

But first, it would be easier to work with improper fractions than with a mixed number.

So, to change 20 1/22012 into an improper fraction:

Multiply the denominator by the whole number

2xx20=402×20=40

Then add the numerator to the product of the denominator and whole number

40+1=4140+1=41

Then put 4141 over the original denominator

41/2412

Now, change the second fraction into its reciprocal

Which is just to switch the numerator and denominator

3/4 => 4/33443

Change the division sign into multiplication

41/2 xx 4/3412×43

Multiply the numerators together and the denominators

164/61646

Simplify

164/6=27.33 or 82/31646=27.33or823