solve 7 1/2 + 1 3/4 - 2 1/8
Answers
Answer:
7.125
Step-by-step explanation:
Conversion a mixed number 7 1/
2
to a improper fraction: 7 1/2 = 7 1/
2
= 7 · 2 + 1/
2
= 14 + 1/
2
= 15/
2
To find new numerator:
a) Multiply the whole number 7 by the denominator 2. Whole number 7 equally 7 * 2/
2
= 14/
2
b) Add the answer from previous step 14 to the numerator 1. New numerator is 14 + 1 = 15
c) Write a previous answer (new numerator 15) over the denominator 2.
Seven and one half is fifteen halfs
Conversion a mixed number 1 3/
4
to a improper fraction: 1 3/4 = 1 3/
4
= 1 · 4 + 3/
4
= 4 + 3/
4
= 7/
4
To find new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4
b) Add the answer from previous step 4 to the numerator 3. New numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4.
One and three quarters is seven quarters
Add: 15/
2
+ 7/
4
= 15 · 2/
2 · 2
+ 7/
4
= 30/
4
+ 7/
4
= 30 + 7/
4
= 37/
4
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, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - fifteen halfs plus seven quarters = thirty-seven quarters.
Conversion a mixed number 2 1/
8
to a improper fraction: 2 1/8 = 2 1/
8
= 2 · 8 + 1/
8
= 16 + 1/
8
= 17/
8
To find new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8
b) Add the answer from previous step 16 to the numerator 1. New numerator is 16 + 1 = 17
c) Write a previous answer (new numerator 17) over the denominator 8.
Two and one eighth is seventeen eighths
Subtract: the result of step No. 3 - 17/
8
= 37/
4
- 17/
8
= 37 · 2/
4 · 2
- 17/
8
= 74/
8
- 17/
8
= 74 - 17/
8
= 57/
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(4, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - thirty-seven quarters minus seventeen eighths = fifty-seven eighths.