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:$\newline$$\dfrac{\frac{9}{8} }{\frac{7}{4} }$$\newline$Write your answer as a proper or improper fraction in simplest form.
Solution:
1. Divide by Reciprocal: What is the multiplication form of $\frac{9}{8}$ divided by $\frac{7}{4}$?$\newline$Dividing by a fraction is the same as multiplying by its reciprocal.$\newline$$\frac{9}{8} \div \frac{7}{4} = \frac{9}{8} \times \frac{4}{7}$
2. Multiply Fractions: Multiply $\frac{9}{8}$ by $\frac{4}{7}$. $\newline$$\frac{9}{8} \times \frac{4}{7}$ $\newline$$= \frac{(9 \times 4)}{(8 \times 7)}$ $\newline$$= \frac{36}{56}$
3. Simplify Fraction: Simplify the fraction $\frac{36}{56}$ to its simplest form.$\newline$Both the numerator and the denominator are divisible by $8$.$\newline$$\frac{36}{56} = \left(\frac{36 \div 4}{56 \div 4}\right)$$\newline$$= \frac{9}{14}$

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