Math  /  Numbers & Operations

Questionsell? \qquad
11. Samantha wants to find the sum of 5/84/9+5/245 / 8-4 / 9+5 / 24 by using the least common denominator (LCD) of the three fractions. The LCD of the fractions in the expressions is 5849+53\frac{5}{8}-\frac{4}{9}+\frac{5}{3}

Studdy Solution
Perform the arithmetic operations using the common denominator.
45723272+1572 \frac{45}{72} - \frac{32}{72} + \frac{15}{72}
Combine the numerators:
4532+1572=2872 \frac{45 - 32 + 15}{72} = \frac{28}{72}
Simplify the fraction:
- The greatest common divisor (GCD) of 28 28 and 72 72 is 4 4 .
2872=28÷472÷4=718 \frac{28}{72} = \frac{28 \div 4}{72 \div 4} = \frac{7}{18}
The sum of the fractions is:
718\boxed{\frac{7}{18}}

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