Multiply. Write your answer as a fraction in simplest form.
Understand the Problem
The question is asking to multiply the given fractions: 1/4, 3/7, and 4/5, and then simplify the result to its simplest form.
Answer
The simplified result of the multiplication is $\frac{3}{35}$.
Answer for screen readers
The final answer is $\frac{3}{35}$.
Steps to Solve
- Multiply the numerators
To begin, multiply the numerators of the fractions: $$ 1 \times 3 \times 4 = 12 $$
- Multiply the denominators
Next, multiply the denominators: $$ 4 \times 7 \times 5 = 140 $$
- Form the resulting fraction
After multiplying the numerators and denominators, we have: $$ \frac{12}{140} $$
- Simplify the fraction
To simplify $\frac{12}{140}$, find the greatest common divisor (GCD) of 12 and 140, which is 4. Then, divide both the numerator and the denominator by their GCD: $$ \frac{12 \div 4}{140 \div 4} = \frac{3}{35} $$
The final answer is $\frac{3}{35}$.
More Information
Multiplying fractions is straightforward: simply multiply the numerators together and multiply the denominators together. In this case, the result was simplified by finding the GCD of the numerator and denominator.
Tips
- Forgetting to simplify the fraction after multiplication.
- Incorrectly multiplying the numbers, leading to wrong numerator or denominator.
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