0.74 as a fraction
Understand the Problem
The question is asking us to convert the decimal 0.74 into its equivalent fraction form. To solve this, we will express the decimal as a fraction with a denominator of 100, and then simplify if necessary.
Answer
\( \frac{37}{50} \)
Answer for screen readers
The simplified fraction of 0.74 is ( \frac{37}{50} ).
Steps to Solve
- Convert the decimal to a fraction with a power of 10 as the denominator
Given the decimal 0.74, we express it as a fraction with a denominator of 100, because 0.74 is the same as 74/100.
$$0.74 = \frac{74}{100}$$
- Simplify the fraction
Find the greatest common divisor (GCD) of 74 and 100 to simplify the fraction. The GCD of 74 and 100 is 2.
- Divide both the numerator and denominator by the GCD
Divide 74 and 100 by their GCD 2 to simplify the fraction.
$$\frac{74 \div 2}{100 \div 2} = \frac{37}{50}$$
Therefore, the simplified fraction of 0.74 is ( \frac{37}{50} ).
The simplified fraction of 0.74 is ( \frac{37}{50} ).
More Information
Converting decimals to fractions and simplifying them helps in understanding their real value and is a useful skill in both academics and various real-life situations.
Tips
A common mistake is failing to simplify the fraction after converting it from a decimal. Always remember to check if the fraction can be simplified by finding the GCD.
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