Answer:
Look below
Step-by-step explanation:
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 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 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 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
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 3.
Two and one third is seven thirds
Add: 13/
4
+ 7/
3
= 13 · 3/
4 · 3
+ 7 · 4/
3 · 4
= 39/
12
+ 28/
12
= 39 + 28/
12
= 67/
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 - thirteen quarters plus seven thirds = sixty-seven twelfths.
