Write the ratio 48 to 40 as a fraction in simplest form.
Understand the Problem
The question is asking to convert the given ratio of 48 to 40 into a fraction and simplify it to its simplest form.
Answer
The simplified form of the ratio 48 to 40 is $$ \frac{6}{5} $$
Answer for screen readers
The simplified form of the fraction is
$$ \frac{6}{5} $$
Steps to Solve
- Convert the ratio to a fraction
The ratio 48 to 40 can be expressed as a fraction:
$$ \frac{48}{40} $$
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 48 and 40. The GCD can be found using the factors of each number:
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The largest common factor is 8.
- Simplify the fraction
Now divide both the numerator and the denominator by the GCD (8):
$$ \frac{48 \div 8}{40 \div 8} = \frac{6}{5} $$
The simplified form of the fraction is
$$ \frac{6}{5} $$
More Information
When expressing ratios as fractions, simplifying them helps make the numbers easier to work with. The GCD is a key component in simplifying fractions. In this case, we reduced the ratio 48 to 40, which is often found in recipes or comparisons.
Tips
- Forgetting to simplify the fraction after converting the ratio.
- Misidentifying the GCD, leading to incorrect simplification.
- Writing the fraction incorrectly by mixing up the numerator and denominator.
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