Answer:
Explanation:
6 1/2 =
Conversion a mixed number 3 1/
4
to a improper fraction: 3 1/4 = 3 1/
4
= 3 · 4 + 1/
4
= 12 + 1/
4
= 13/
4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from the previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 4.
Three and one quarter is thirteen quarters.
Conversion a mixed number 5 1/
2
to a improper fraction: 5 1/2 = 5 1/
2
= 5 · 2 + 1/
2
= 10 + 1/
2
= 11/
2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/
2
= 10/
2
b) Add the answer from the previous step 10 to the numerator 1. New numerator is 10 + 1 = 11
c) Write a previous answer (new numerator 11) over the denominator 2.
Five and one half is eleven halfs.
Subtract: 13/
4
- 11/
2
= 13/
4
- 11 · 2/
2 · 2
= 13/
4
- 22/
4
= 13 - 22/
4
= -9/
4
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, 2) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen quarters minus eleven halfs is minus nine quarters.
Conversion a mixed number 8 3/
4
to a improper fraction: 8 3/4 = 8 3/
4
= 8 · 4 + 3/
4
= 32 + 3/
4
= 35/
4
To find a new numerator:
a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/
4
= 32/
4
b) Add the answer from the previous step 32 to the numerator 3. New numerator is 32 + 3 = 35
c) Write a previous answer (new numerator 35) over the denominator 4.
Eight and three quarters is thirty-five quarters.
Add: the result of step No. 3 + 35/
4
= -9/
4
+ 35/
4
= -9 + 35/
4
= 26/
4
= 2 · 13/
2 · 2
= 13/
2
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, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the following intermediate step, cancel by a common factor of 2 gives 13/
2
.
In other words - minus nine quarters plus thirty-five quarters is thirteen halfs.