Answer:
1/6=6
Step-by-step explanation:
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
To find 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.
Two and one quarter is nine quarters
Divide: 9/
4
: 3/
8
= 9/
4
· 8/
3
= 9 · 8/
4 · 3
= 72/
12
= 12 · 6/
12 · 1
= 6
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 3/
8
is 8/
3
) 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 12 gives 6/
1
.
In words - nine quarters divided by three eighths = six.
