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Divide. Write the quotient in lowest terms. 1(1)/(4)÷1(2)/(5)=

Divide. Write the quotient in lowest terms.\newline114÷125= 1 \frac{1}{4} \div 1 \frac{2}{5}=

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Full solution

Q. Divide. Write the quotient in lowest terms.\newline114÷125= 1 \frac{1}{4} \div 1 \frac{2}{5}=
  1. Convert to Improper Fractions: Convert the mixed numbers to improper fractions.\newline1141 \frac{1}{4} is the same as (4×1+1)/4=54(4 \times 1 + 1)/4 = \frac{5}{4}.\newline1251 \frac{2}{5} is the same as (5×1+2)/5=75(5 \times 1 + 2)/5 = \frac{7}{5}.
  2. Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction.\newline(54)÷(75)(\frac{5}{4}) \div (\frac{7}{5}) becomes (54)×(57)(\frac{5}{4}) \times (\frac{5}{7}).
  3. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newline(5×5)/(4×7)=25/28(5 \times 5) / (4 \times 7) = 25 / 28.
  4. Simplify Fraction: Simplify the fraction if possible. 2525 and 2828 do not have any common factors other than 11, so the fraction is already in its simplest form.

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