Simplify Complex Fractions Worksheet

6 problems

Simplifying complex fractions is the process of reducing a complex fraction that contains fractions either in the numerator, the denominator, or both to a single fraction. This involves performing operations such as canceling common factors or reducing terms to their lowest possible values. The result is often expressed as a proper or improper fraction with no common factors other than `1` between the numerator and the denominator.

Algebra 1
Algebra Foundations

How Will This Worksheet on 'Simplify Complex Fractions' Benefit Your Student's Learning?

  • Makes solving math problems easier and quicker.
  • It helps students understand fractions better.
  • It is useful for learning algebra and advanced math.
  • Simplifying fractions improves problem-solving skill...
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Solved Example

Q. Simplify:\newline9874\dfrac{\frac{9}{8} }{\frac{7}{4} }\newlineWrite your answer as a proper or improper fraction in simplest form.
Solution:
  1. Divide by Reciprocal: What is the multiplication form of 98\frac{9}{8} divided by 74\frac{7}{4}?\newlineDividing by a fraction is the same as multiplying by its reciprocal.\newline98÷74=98×47\frac{9}{8} \div \frac{7}{4} = \frac{9}{8} \times \frac{4}{7}
  2. Multiply Fractions: Multiply 98\frac{9}{8} by 47\frac{4}{7}. \newline98×47\frac{9}{8} \times \frac{4}{7} \newline=(9×4)(8×7)= \frac{(9 \times 4)}{(8 \times 7)} \newline=3656= \frac{36}{56}
  3. Simplify Fraction: Simplify the fraction 3656\frac{36}{56} to its simplest form.\newlineBoth the numerator and the denominator are divisible by 88.\newline3656=(36÷456÷4)\frac{36}{56} = \left(\frac{36 \div 4}{56 \div 4}\right)\newline=914= \frac{9}{14}

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