What is the answer to this equation

3 3/7 + 4 5/7=

Conversion a mixed number 3 3

7

to a improper fraction: 3 3/7 = 3 3

7

= 3 · 7 + 3

7

= 21 + 3

7

= 24

7

To find new numerator:

a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7

7

= 21

7

b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24

c) Write previous answer (new numerator 24) over the denominator 7.

Three and three sevenths is twenty-four sevenths

Conversion a mixed number 4 5

7

to a improper fraction: 4 5/7 = 4 5

7

= 4 · 7 + 5

7

= 28 + 5

7

= 33

7

To find 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 5. New numerator is 28 + 5 = 33

c) Write previous answer (new numerator 33) over the denominator 7.

Four and five sevenths is thirty-three sevenths

Add: 24

7

+ 33

7

= 24 + 33

7

= 57

7

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 the both denominators - LCM (7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 * 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.

8 1/7

Step-by-step explanation:

First, you take 3 and 3/7 and line it up with 4 and 5/7 and first you add your whole numbers which come before the fractions and get 7. Next, you add the fractions and get 8/7. Now you know it needs symplified because its an improper fraction. To symplify you have to * or : and whatever one you do you have to do it to both the numerator and denominator. If you divide 8:7=1 R1 7:7=1. Last add 7+1+1/7=8 1/7.