5/3 divided by 7
Understand the Problem
The question is asking for the result of the division operation, specifically dividing the fraction 5/3 by the number 7. To solve it, we will convert the division into a multiplication by the reciprocal.
Answer
$\frac{5}{21}$
Answer for screen readers
The final result is $\frac{5}{21}$.
Steps to Solve
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Identify the operation We need to divide the fraction $\frac{5}{3}$ by the whole number $7$.
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Convert division to multiplication Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of $7$ is $\frac{1}{7}$.
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Set up the multiplication Now we rewrite the division as a multiplication: $$ \frac{5}{3} \div 7 = \frac{5}{3} \times \frac{1}{7} $$
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Perform the multiplication Multiply the numerators and the denominators: $$ = \frac{5 \times 1}{3 \times 7} = \frac{5}{21} $$
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Finalize the answer The result of dividing $\frac{5}{3}$ by $7$ is $\frac{5}{21}$.
The final result is $\frac{5}{21}$.
More Information
Dividing fractions by whole numbers is often done by converting the whole number to a fraction (by placing it over 1) and then multiplying. This technique is useful for all types of fraction calculations.
Tips
- Mistaking division for subtraction: Some may forget that division requires multiplying by the reciprocal. To avoid this, always remember to convert division by a number into multiplication by its reciprocal.
- Improper multiplication: Ensure that when multiplying fractions, you multiply numerators together and denominators together.
