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Mathematics

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Answer

1141\frac{1}{4}

Step-by-step solution

3 steps

Okay, nwekechidubem247. Let's solve problem (5) from the image: 258−1382\frac{5}{8} - 1\frac{3}{8}.

  1. Convert the mixed numbers to improper fractions.

    258=(2×8)+58=16+58=2182\frac{5}{8} = \frac{(2 \times 8) + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8} 138=(1×8)+38=8+38=1181\frac{3}{8} = \frac{(1 \times 8) + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}
  2. Subtract the fractions.

    Since they already have a common denominator, subtract the numerators.

    218−118=21−118=108\frac{21}{8} - \frac{11}{8} = \frac{21 - 11}{8} = \frac{10}{8}
  3. Simplify the improper fraction and convert it to a mixed number.

    108=54\frac{10}{8} = \frac{5}{4} 5÷4=1 with a remainder of 15 \div 4 = 1 \text{ with a remainder of } 1

    So, 54=114\frac{5}{4} = 1\frac{1}{4}.

    The final answer is 1141\frac{1}{4}.

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