Answer:
(4 2/3) : (1 1/6) quotient = 4/
1
= 4
Step-by-step explanation:
Conversion a mixed number 4 2/
3
to a improper fraction: 4 2/3 = 4 2/
3
= 4 · 3 + 2/
3
= 12 + 2/
3
= 14/
3
To find new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/
3
= 12/
3
b) Add the answer from previous step 12 to the numerator 2. New numerator is 12 + 2 = 14
c) Write a previous answer (new numerator 14) over the denominator 3.
Four and two thirds is fourteen thirds
Conversion a mixed number 1 1/
6
to a improper fraction: 1 1/6 = 1 1/
6
= 1 · 6 + 1/
6
= 6 + 1/
6
= 7/
6
To find new numerator:
a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/
6
= 6/
6
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 6.
One and one sixth is seven sixths
Divide: 14/
3
: 7/
6
= 14/
3
· 6/
7
= 14 · 6/
3 · 7
= 84/
21
= 21 · 4/
21 · 1
= 4
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 7/
6
is 6/
7
) 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 21 gives 4/
1
.
In words - fourteen thirds divided by seven sixths = four.
answer letter a. 4
pa brailess po
