What is 75/74 Divided By 3/4

Answer: 7574÷34\frac{75}{74}\div\frac{3}{4} = 5037\frac{50}{37}

Solving 7574÷34\frac{75}{74}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

7574÷34=7574×43\frac{75}{74} \div \frac{3}{4} = \frac{75}{74} \times \frac{4}{3}

  • Multiply the Numerators: 75×4=30075 \times 4 = 300
  • Multiply the Denominators: 74×3=22274 \times 3 = 222
  • Form the New Fraction: 7574×34=300222\frac{75}{74} \times \frac{3}{4} = \frac{300}{222}

Let's Simplify 300222\frac{300}{222}

  • Find the Greatest Common Divisor (GCD) of 300300 and 222222. The GCD of 300300 and 222222 is 66.
  • Divide both the numerator and the denominator by the GCD:300÷6222÷6=5037\frac{300 \div 6}{222 \div 6} = \frac{50}{37}

Answer 7574÷34=5037\frac{75}{74}\div\frac{3}{4} = \frac{50}{37}


The following animation demonstrates the divide-by,

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