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Answer:
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.