What is 33/42 Divided By 7/8

Answer: 3342÷78\frac{33}{42}\div\frac{7}{8} = 4449\frac{44}{49}

Solving 3342÷78\frac{33}{42}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

3342÷78=3342×87\frac{33}{42} \div \frac{7}{8} = \frac{33}{42} \times \frac{8}{7}

  • Multiply the Numerators: 33×8=26433 \times 8 = 264
  • Multiply the Denominators: 42×7=29442 \times 7 = 294
  • Form the New Fraction: 3342×78=264294\frac{33}{42} \times \frac{7}{8} = \frac{264}{294}

Let's Simplify 264294\frac{264}{294}

  • Find the Greatest Common Divisor (GCD) of 264264 and 294294. The GCD of 264264 and 294294 is 66.
  • Divide both the numerator and the denominator by the GCD:264÷6294÷6=4449\frac{264 \div 6}{294 \div 6} = \frac{44}{49}

Answer 3342÷78=4449\frac{33}{42}\div\frac{7}{8} = \frac{44}{49}


The following animation demonstrates the divide-by,

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