Solving Problems Involving Mixed Operations with Fractions
Topic Content:
- Solving Problems Involving Mixed Operations with Fractions
Worked Example 8.3.1
Simplify the following fractions:
i. \( \frac{3\frac{1}{3} \: \div \: 2 \frac{1}{2}}{4\frac{2}{7}} \)
ii. \(\scriptsize 2 \normalsize \frac{4 }{5}\scriptsize \: \times \: 5 \normalsize \frac{6}{8} \scriptsize \: \div \: \scriptsize 5 \normalsize \frac{1}{9} \)
iii. \(\frac {1}{4} \scriptsize \; of \; \left ( \scriptsize2 \normalsize \frac{3 }{4 } \; \div\; \frac{2}{8} \right) + \scriptsize 1 \normalsize \frac{2 }{3 }\)
i. \( \frac{3\frac{1}{3} \: \div \: 2 \frac{1}{2}}{4\frac{2}{7}} \)
Solution
= \( \large \frac{\frac{10}{3} \: \div \: \frac{5}{2}}{ \frac{30}{7}} \)
= \( \large \frac{\frac{10}{3} \: \times \: \frac{2}{5}}{ \frac{30}{7}} \)
= \( \large \frac{\frac{20}{15}}{ \frac{30}{7}} \)
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