3/4 of what number is 10
Understand the Problem
The question is asking us to find a number such that when it is multiplied by 3/4, the result is 10. To solve it, we can set up the equation (3/4) * x = 10 and then solve for x.
Answer
13 1/3
Answer for screen readers
The final answer is 13 1/3
Steps to Solve
- Set up the equation
Set up the equation using the given information: $\frac{3}{4} x = 10$
- Isolate the variable
To isolate $x$, multiply both sides of the equation by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$.
$$ \left( \frac{4}{3} \right) \left( \frac{3}{4} x \right) = \left( \frac{4}{3} \right) 10 $$
- Simplify both sides
Simplify the left side of the equation to get $x$ alone. Simplify the right side to find the value of $x$.
$$ x = \frac{4}{3} \times 10 \ = \frac{40}{3} \ = 13\frac{1}{3} $$
Therefore, 3/4 of the number is 10.
The final answer is 13 1/3
More Information
The result shows that if you multiply 13 1/3 by 3/4, you get 10.
Tips
A common mistake is to forget to multiply by the reciprocal or to simplify the fraction correctly.
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