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Sagot :
Answer:
3 1/2 - 4 1/7 = -9/
14 ≅ -0.6428571
Step-by-step explanation:
Conversion a mixed number 3 1/
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Conversion a mixed number 4 1/
7
to a improper fraction: 4 1/7 = 4 1/
7
= 4 · 7 + 1/
7
= 28 + 1/
7
= 29/
7
To find a new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 1. New numerator is 28 + 1 = 29
c) Write a previous answer (new numerator 29) over the denominator 7.
Four and one seventh is twenty-nine sevenths
Subtract: 7/
2
- 29/
7
= 7 · 7/
2 · 7
- 29 · 2/
7 · 2
= 49/
14
- 58/
14
= 49 - 58/
14
= -9/
14
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, 7) = 14. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 7 = 14. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - seven halfs minus twenty-nine sevenths = minus nine fourteenths.
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