Explain
Conversion a mixed number 6 1/
4
to a improper fraction: 6 1/4 = 6 1/
4
= 6 · 4 + 1/
4
= 24 + 1/
4
= 25/
4
To find a new numerator:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/
4
= 24/
4
b) Add the answer from the previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 4.
Six and one quarter is twenty-five quarters.
Conversion a mixed number 3 1/
8
to a improper fraction: 3 1/8 = 3 1/
8
= 3 · 8 + 1/
8
= 24 + 1/
8
= 25/
8
To find a new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from the previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 8.
Three and one eighth is twenty-five eighths.
Subtract: 25/
4
- 25/
8
= 25 · 2/
4 · 2
- 25/
8
= 50/
8
- 25/
8
= 50 - 25/
8
= 25/
8
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 8) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - twenty-five quarters minus twenty-five eighths is twenty-five eighths.