What is 42/19 Divided By 4/1

Answer: 4219÷41\frac{42}{19}\div\frac{4}{1} = 2138\frac{21}{38}

Solving 4219÷41\frac{42}{19}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

4219÷41=4219×14\frac{42}{19} \div \frac{4}{1} = \frac{42}{19} \times \frac{1}{4}

  • Multiply the Numerators: 42×1=4242 \times 1 = 42
  • Multiply the Denominators: 19×4=7619 \times 4 = 76
  • Form the New Fraction: 4219×41=4276\frac{42}{19} \times \frac{4}{1} = \frac{42}{76}

Let's Simplify 4276\frac{42}{76}

  • Find the Greatest Common Divisor (GCD) of 4242 and 7676. The GCD of 4242 and 7676 is 22.
  • Divide both the numerator and the denominator by the GCD:42÷276÷2=2138\frac{42 \div 2}{76 \div 2} = \frac{21}{38}

Answer 4219÷41=2138\frac{42}{19}\div\frac{4}{1} = \frac{21}{38}


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!