Answer:
Explanation:
Conversion a mixed number 23 1/
2
to a improper fraction: 23 1/2 = 23 1/
2
= 23 · 2 + 1/
2
= 46 + 1/
2
= 47/
2
To find a new numerator:
a) Multiply the whole number 23 by the denominator 2. Whole number 23 equally 23 * 2/
2
= 46/
2
b) Add the answer from previous step 46 to the numerator 1. New numerator is 46 + 1 = 47
c) Write a previous answer (new numerator 47) over the denominator 2.
Twenty-three and one half is forty-seven halfs
Conversion a mixed number 3 5/
8
to a improper fraction: 3 5/8 = 3 5/
8
= 3 · 8 + 5/
8
= 24 + 5/
8
= 29/
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 previous step 24 to the numerator 5. New numerator is 24 + 5 = 29
c) Write a previous answer (new numerator 29) over the denominator 8.
Three and five eighths is twenty-nine eighths
Subtract: 47/
2
- 29/
8
= 47 · 4/
2 · 4
- 29/
8
= 188/
8
- 29/
8
= 188 - 29/
8
= 159/
8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - forty-seven halfs minus twenty-nine eighths is one hundred fifty-nine eighths.