What is 3/4 of 10?

Understand the Problem

The question is asking for the calculation of three-fourths of the number 10. To solve this, we will multiply 10 by the fraction 3/4.

Answer

$7.5$
Answer for screen readers

The final answer is $7.5$.

Steps to Solve

  1. Identify the fraction to multiply by

We need to calculate three-fourths, which is represented as the fraction $\frac{3}{4}$.

  1. Set up the multiplication

To find three-fourths of the number 10, we will multiply 10 by $\frac{3}{4}$.

$$ \text{Calculation: } 10 \times \frac{3}{4} $$

  1. Perform the multiplication

When we multiply, we can think of 10 as a fraction:

$$ 10 = \frac{10}{1} $$

Now we perform the multiplication:

$$ \frac{10}{1} \times \frac{3}{4} = \frac{10 \times 3}{1 \times 4} = \frac{30}{4} $$

  1. Simplify the fraction

Now, simplify $\frac{30}{4}$:

$$ \frac{30}{4} = \frac{15}{2} = 7.5 $$

The final answer is $7.5$.

More Information

Calculating a fraction of a number is a common operation in mathematics that helps in understanding ratios, proportions, and percentages. In this case, three-fourths of 10 translates to calculating part of a whole.

Tips

  • Forgetting to simplify: After obtaining the fraction $\frac{30}{4}$, it's important to simplify to its lowest terms to obtain the correct answer.
  • Misunderstanding the fraction: Some may confuse calculating "of" with adding or subtracting. Remember, "of" indicates multiplication.

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