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 5 3/
4
to a improper fraction: 5 3/4 = 5 3/
4
= 5 · 4 + 3/
4
= 20 + 3/
4
= 23/
4
To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/
4
= 20/
4
b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
c) Write a previous answer (new numerator 23) over the denominator 4.
Five and three quarters is twenty-three quarters
Subtract: 15/
2
- 23/
4
= 15 · 2/
2 · 2
- 23/
4
= 30/
4
- 23/
4
= 30 - 23/
4
= 7/
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 minus twenty-three quarters = seven quarters.
Answers & Comments
ANSWER
1.75
How do you solve fractions step by step?
Conversion a mixed number 7 2/3
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 5 3/
4
to a improper fraction: 5 3/4 = 5 3/
4
= 5 · 4 + 3/
4
= 20 + 3/
4
= 23/
4
To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/
4
= 20/
4
b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
c) Write a previous answer (new numerator 23) over the denominator 4.
Five and three quarters is twenty-three quarters
Subtract: 15/
2
- 23/
4
= 15 · 2/
2 · 2
- 23/
4
= 30/
4
- 23/
4
= 30 - 23/
4
= 7/
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 minus twenty-three quarters = seven quarters.