What is 74/98 Divided By 3/4

Answer: 7498÷34\frac{74}{98}\div\frac{3}{4} = 148147\frac{148}{147}

Solving 7498÷34\frac{74}{98}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

7498÷34=7498×43\frac{74}{98} \div \frac{3}{4} = \frac{74}{98} \times \frac{4}{3}

  • Multiply the Numerators: 74×4=29674 \times 4 = 296
  • Multiply the Denominators: 98×3=29498 \times 3 = 294
  • Form the New Fraction: 7498×34=296294\frac{74}{98} \times \frac{3}{4} = \frac{296}{294}

Let's Simplify 296294\frac{296}{294}

  • Find the Greatest Common Divisor (GCD) of 296296 and 294294. The GCD of 296296 and 294294 is 22.
  • Divide both the numerator and the denominator by the GCD:296÷2294÷2=148147\frac{296 \div 2}{294 \div 2} = \frac{148}{147}

Answer 7498÷34=148147\frac{74}{98}\div\frac{3}{4} = \frac{148}{147}


The following animation demonstrates the divide-by,

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