What is 19/74 Divided By 4/8

Answer: 1974÷48\frac{19}{74}\div\frac{4}{8} = 1937\frac{19}{37}

Solving 1974÷48\frac{19}{74}\div\frac{4}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1974÷48=1974×84\frac{19}{74} \div \frac{4}{8} = \frac{19}{74} \times \frac{8}{4}

  • Multiply the Numerators: 19×8=15219 \times 8 = 152
  • Multiply the Denominators: 74×4=29674 \times 4 = 296
  • Form the New Fraction: 1974×48=152296\frac{19}{74} \times \frac{4}{8} = \frac{152}{296}

Let's Simplify 152296\frac{152}{296}

  • Find the Greatest Common Divisor (GCD) of 152152 and 296296. The GCD of 152152 and 296296 is 88.
  • Divide both the numerator and the denominator by the GCD:152÷8296÷8=1937\frac{152 \div 8}{296 \div 8} = \frac{19}{37}

Answer 1974÷48=1937\frac{19}{74}\div\frac{4}{8} = \frac{19}{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!