What is 42/74 Divided By 3/1

Answer: 4274÷31\frac{42}{74}\div\frac{3}{1} = 737\frac{7}{37}

Solving 4274÷31\frac{42}{74}\div\frac{3}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

4274÷31=4274×13\frac{42}{74} \div \frac{3}{1} = \frac{42}{74} \times \frac{1}{3}

  • Multiply the Numerators: 42×1=4242 \times 1 = 42
  • Multiply the Denominators: 74×3=22274 \times 3 = 222
  • Form the New Fraction: 4274×31=42222\frac{42}{74} \times \frac{3}{1} = \frac{42}{222}

Let's Simplify 42222\frac{42}{222}

  • Find the Greatest Common Divisor (GCD) of 4242 and 222222. The GCD of 4242 and 222222 is 66.
  • Divide both the numerator and the denominator by the GCD:42÷6222÷6=737\frac{42 \div 6}{222 \div 6} = \frac{7}{37}

Answer 4274÷31=737\frac{42}{74}\div\frac{3}{1} = \frac{7}{37}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!