What is 18/38 Divided By 3/4

Answer: 1838÷34\frac{18}{38}\div\frac{3}{4} = 1219\frac{12}{19}

Solving 1838÷34\frac{18}{38}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1838÷34=1838×43\frac{18}{38} \div \frac{3}{4} = \frac{18}{38} \times \frac{4}{3}

  • Multiply the Numerators: 18×4=7218 \times 4 = 72
  • Multiply the Denominators: 38×3=11438 \times 3 = 114
  • Form the New Fraction: 1838×34=72114\frac{18}{38} \times \frac{3}{4} = \frac{72}{114}

Let's Simplify 72114\frac{72}{114}

  • Find the Greatest Common Divisor (GCD) of 7272 and 114114. The GCD of 7272 and 114114 is 66.
  • Divide both the numerator and the denominator by the GCD:72÷6114÷6=1219\frac{72 \div 6}{114 \div 6} = \frac{12}{19}

Answer 1838÷34=1219\frac{18}{38}\div\frac{3}{4} = \frac{12}{19}


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!