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Find the quotient. 1/4 2 2/3​

1 Answer

2 votes
3/32 Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3


To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3

b) Add the answer from the previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds.
Divide: 1/
4
: 8/
3
= 1/
4
· 3/
8
= 1 · 3/
4 · 8
= 3/
32

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 8/
3
is 3/
8
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step
answered
User Fwind
by
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