Improper Fractions Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Multiply 73×94\frac{7}{3} \times \frac{9}{4} and give the answer as both an improper fraction and a mixed number.

Solution

  1. 1
    Multiply numerators and denominators: 7×93×4=6312\frac{7 \times 9}{3 \times 4} = \frac{63}{12}.
  2. 2
    Simplify: gcd⁡(63,12)=3\gcd(63, 12) = 3, so 6312=214\frac{63}{12} = \frac{21}{4}.
  3. 3
    Convert to mixed number: 21÷4=521 \div 4 = 5 remainder 11, so 214=514\frac{21}{4} = 5\frac{1}{4}.

Answer

214=514\frac{21}{4} = 5\frac{1}{4}
Multiplying improper fractions follows the same rule as proper fractions. The result is often another improper fraction that can be converted to a mixed number for easier interpretation.

About Improper Fractions

A fraction where the numerator is greater than or equal to the denominator, representing a value of one or more.

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More Improper Fractions Examples

Example 1 easy

Identify whether each fraction is proper or improper, and explain: [formula], [formula], [formula].

Example 2 medium

You have [formula] quarter-slices of pizza ([formula] each). Write this as an improper fraction and

Example 3 easy

Write [formula] as a mixed number.

Example 5 medium

Convert [formula] to a mixed number, then convert [formula] to an improper fraction.

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