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Simplify. (3)/(4) + (5)/(8) = _____

Simplify.\newline34+58=_____ \frac{3}{4} + \frac{5}{8} = \_\_\_\_\_

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Full solution

Q. Simplify.\newline34+58=_____ \frac{3}{4} + \frac{5}{8} = \_\_\_\_\_
  1. Convert fractions to common denominator: Convert the fractions to have a common denominator.\newlineThe least common multiple (LCM) of 44 and 88 is 88. So, we need to convert 34\frac{3}{4} to a fraction with a denominator of 88.\newline34=(3×24×2)=68\frac{3}{4} = \left(\frac{3 \times 2}{4 \times 2}\right) = \frac{6}{8}
  2. Add fractions with common denominator: Add the two fractions with the common denominator.\newlineNow that both fractions have the same denominator, we can add them directly.\newline68+58=(6+5)8=118\frac{6}{8} + \frac{5}{8} = \frac{(6 + 5)}{8} = \frac{11}{8}
  3. Simplify final fraction: Simplify the fraction if necessary.\newlineThe fraction 118\frac{11}{8} is already in its simplest form, so no further simplification is needed.

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