6 1/4 + 1 1/3
= B. 7 7/12
Conversion a mixed number 6 1/4
to a improper fraction: 6 1/4 = 6 1/4
= 6 · 4 + 1/4
= 24 + 1/4
= 25/4
To find new numerator:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4
= 24/4
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 4.
Six and one quarter is twenty-five quarters
Conversion a mixed number 1 1/3
to a improper fraction: 1 1/3 = 1 1/3
= 1 · 3 + 1/3
= 3 + 1/3
= 4/3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/3
= 3/3
b) Add the answer from previous step 3 to the numerator 1. New numerator is 3 + 1 = 4
c) Write a previous answer (new numerator 4) over the denominator 3.
One and one third is four thirds
Add: 25/4
+ 4/3
= 25 · 3/4 · 3 + 4 · 4/3 · 4
= 75/12 + 16/12
= 75 + 16/12
= 91/12
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, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling. In words - twenty-five quarters plus four thirds = ninety-one twelfths
