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5//8×73//5

5/8×73/5 5 / 8 \times 73 / 5

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Q. 5/8×73/5 5 / 8 \times 73 / 5
  1. Write Problem: Write down the multiplication problem using the given fractions. 58×735\frac{5}{8} \times \frac{73}{5}
  2. Multiply Numerators: Multiply the numerators (top numbers) of the fractions together. 5×73=3655 \times 73 = 365
  3. Multiply Denominators: Multiply the denominators (bottom numbers) of the fractions together. 8×5=408 \times 5 = 40
  4. Write Result: Write down the result of the multiplication as a new fraction. 36540\frac{365}{40}
  5. Simplify Fraction: Simplify the fraction if possible. In this case, the fraction 36540\frac{365}{40} cannot be simplified further because 365365 and 4040 have no common factors other than 11.\newlineFinal fraction: 36540\frac{365}{40}
  6. Convert to Mixed Number: Convert the improper fraction to a mixed number if necessary. Since 365365 is greater than 4040, we can convert it to a mixed number.\newline365÷40=9365 \div 40 = 9 with a remainder of 55
  7. Write Mixed Number: Write the remainder over the original denominator to get the mixed number. \newline95409 \frac{5}{40}
  8. Simplify Fractional Part: Simplify the fractional part of the mixed number if possible. In this case, the fraction 540\frac{5}{40} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 55.\newline5÷5=15 \div 5 = 1\newline40÷5=840 \div 5 = 8
  9. Write Simplified Mixed Number: Write down the simplified mixed number. 9189\frac{1}{8}

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