Math  /  Numbers & Operations

Question37+57\frac{-3}{7}+\frac{5}{-7}

Studdy Solution

STEP 1

1. The problem involves adding two fractions with the same denominator.
2. The fractions are 37\frac{-3}{7} and 57\frac{5}{-7}.
3. The goal is to find the sum of these two fractions.

STEP 2

1. Identify the common denominator.
2. Add the numerators.
3. Simplify the result if necessary.

STEP 3

Identify the common denominator for the fractions 37\frac{-3}{7} and 57\frac{5}{-7}.
Since both fractions have the denominator 77, the common denominator is 77.

STEP 4

Add the numerators of the fractions.
The numerators are 3-3 and 55. Add them together:
3+5=2-3 + 5 = 2

STEP 5

Write the result as a single fraction with the common denominator.
The fraction is 27\frac{2}{7}.
The sum of the fractions 37+57\frac{-3}{7} + \frac{5}{-7} is:
27\boxed{\frac{2}{7}}

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