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 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 previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 5
8
: 8
3
= 5
8
· 3
8
= 5 · 3
8 · 8
= 15
64
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 next intermediate step the fraction result cannot be further simplified by cancelling.
In words - five eighths divided by eight thirds = fifteen sixty-fourths.
