Solve: 1. 1 1/4 * 1/3 = ? 2. 3 1/3 * 1/12 = ?
Understand the Problem
The question is asking to solve two fraction problems. The first one is 1 1/4 * 1/3 and the second one is 3 1/3 * 1/12.
Answer
11. $\frac{5}{12}$ 12. $\frac{5}{18}$
Answer for screen readers
- $\frac{5}{12}$
- $\frac{5}{18}$
Steps to Solve
- Convert the mixed number to an improper fraction for 11
$1\frac{1}{4}$ can be written as $\frac{(1 \times 4) + 1}{4} = \frac{5}{4}$
- Multiply the fractions for question 11
Multiply the numerators and the denominators: $\frac{5}{4} \times \frac{1}{3} = \frac{5 \times 1}{4 \times 3} = \frac{5}{12}$
- Convert the mixed number to an improper fraction for 12
$3\frac{1}{3}$ can be written as $\frac{(3 \times 3) + 1}{3} = \frac{10}{3}$
- Multiply the fractions for question 12
Multiply the numerators and the denominators: $\frac{10}{3} \times \frac{1}{12} = \frac{10 \times 1}{3 \times 12} = \frac{10}{36}$
- Simplify the fraction for question 12
Divide both numerator and denominator by their greatest common divisor, which is 2: $\frac{10}{36}= \frac{10 \div 2}{36 \div 2} = \frac{5}{18}$
- $\frac{5}{12}$
- $\frac{5}{18}$
More Information
Multiplying fractions is a fundamental arithmetic operation. The answer is expressed in its simplest form (i.e. either proper or improper fractions).
Tips
A common mistake is forgetting to convert mixed numbers into improper fractions before multiplying. Another common mistake is not simplifying the final fraction.
- Always convert mixed numbers to improper fractions first
- Always simplify fractions to their lowest terms
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