1/5 × 3/4 × 5/7
Understand the Problem
The question is asking us to perform a series of operations involving fractions. It requires multiplication of fractions and may involve simplification of the resulting values.
Answer
The result of the multiplication is $$ \frac{3}{28} $$.
Answer for screen readers
The final answer is $$ \frac{3}{28} $$.
Steps to Solve
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Multiply the numerators Multiply the numerators of the fractions together: $$ 1 \times 3 \times 5 $$
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Multiply the denominators Multiply the denominators of the fractions together: $$ 5 \times 4 \times 7 $$
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Calculate the products Calculate the product of the numerators: $$ 1 \times 3 \times 5 = 15 $$
Calculate the product of the denominators: $$ 5 \times 4 \times 7 = 140 $$
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Form the resulting fraction Write the resulting fraction from the products of the numerators and denominators: $$ \frac{15}{140} $$
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Simplify the fraction Simplify the fraction by finding the greatest common divisor (GCD) of 15 and 140, which is 5. Thus, divide both the numerator and denominator by 5: $$ \frac{15 \div 5}{140 \div 5} = \frac{3}{28} $$
The final answer is $$ \frac{3}{28} $$.
More Information
This answer represents the simplified result of multiplying the three fractions together. Multiplying fractions involves straightforward multiplication of the numerators and denominators. Additionally, simplifying fractions to their lowest terms is an important step in presenting the final answer.
Tips
- Forgetting to simplify the final fraction. Always check if the fraction can be reduced.
- Mistaking the order of multiplication; ensure all numerators and all denominators are multiplied correctly.
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