Question

what is the quotient of 2 1/4 and 5/8?

Answer 1

It's simple math, but if you don't understand, we can help. To begin with, you must first convert 2 1/4 to an improper fraction. You'd be left with 9/4 after the conversion. Write out 9/4 ÷ 5/8. After doing so, find the reciprocal of 5/8 (switch the numerator and the denominator). Now, write out the question as 9/4 × 8/5. Multiply straight across, as you do not need common denominators when multiplying or dividing fractions. Your final answer should be 72/20. When simplified, you should get 3 2/20, or when simplified to the smallest amount, 3 1/10. Hope I was clear enough to help! :)

Answer 2

2 1/4 / 5/8 = 18/5 = 3 3/5

explanation:

1. Conversion a mixed number 2 1/4

to a improper fraction: 2 1/4 = 2 1/4 = 2 · 4 + 1/4 = 8 + 1/4= 9/4

2. To find a new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/4= 8/4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

3. Two and one quarter is nine quarters

Divide: 9/4 : 5/8 = 9/4 · 8/5 = 9 · 8/4 · 5 = 72/20 = 4 · 18 /4 · 5 = 18/5

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/8 is 8/5) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 4 gives 18/5.

In other words - nine quarters divided by five eighths = eighteen fifths.

hope it helped:)