72 into 5:3
Understand the Problem
The question is asking to multiply the number 72 by the ratio 5:3, which involves performing a ratio calculation. To solve this, we will convert the ratio into a decimal or fraction and then multiply it by 72.
Answer
120
Answer for screen readers
The final answer is 120.
Steps to Solve
- Convert the Ratio to Fraction
The ratio 5:3 can be converted to a fraction. We take the first part of the ratio (5) as the numerator and the second part (3) as the denominator.
The fraction is:
$$ \frac{5}{3} $$
- Multiply the Fraction by 72
Next, we multiply the fraction by 72. This means we will multiply 72 by the fraction we found in the previous step.
The equation will be:
$$ 72 \times \frac{5}{3} $$
- Calculate the Multiplication
Now we do the multiplication. To make the calculation easier, we can multiply 72 by 5 first, and then divide the result by 3.
First, we find:
$$ 72 \times 5 = 360 $$
Then, we divide that result by 3:
$$ \frac{360}{3} = 120 $$
The final answer is 120.
More Information
The result of 120 represents the amount you get when you multiply 72 by the fraction formed from the ratio 5:3. This means that if you take 72 parts and consider 5 out of every 3 parts, you will have a total of 120.
Tips
- Not reducing the ratio to a fraction: Some may forget to convert the ratio to a fraction before multiplying. Always remember to express ratios as fractions first.
- Incorrect arithmetic: Ensure that you carefully perform multiplication and division. Double-check your calculations to avoid errors.
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