What fraction of 7 2/5 is 49 1/3?

8 1/6 / 1 7/8 = 196/45 = 4 16/45 ≅ 4.3555556

Step-by-step explanation:

Conversion a mixed number 8 1/6

to a improper fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6= 48 + 1/6 = 49/6

To find new numerator:

a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8

to a improper fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8= 15/8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8

b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8.

One and seven eighths is fifteen eighths

Divide: 49/6 : 15/8 = 49/6 · 8/15 = 49 · 8/6 · 15 = 392/90 = 2 · 196 /2 · 45 = 196/45

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 15/

8 is 8/15

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 2 gives 196/45

.

In words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.