3.74 as a fraction
Understand the Problem
The question is asking how to convert the decimal 3.74 into a fraction. This involves expressing it as a ratio of two integers.
Answer
The fraction equivalent of the decimal 3.74 is $\frac{187}{50}$.
Answer for screen readers
The fraction equivalent of the decimal 3.74 is $\frac{187}{50}$.
Steps to Solve
- Identify the Decimal Places
The decimal number 3.74 has two decimal places. This means we can express it as:
$$ 3.74 = 3 + 0.74 $$
- Convert the Decimal Part to a Fraction
Next, we convert the decimal part, 0.74, into a fraction. To do this, we recognize that 0.74 can be written as:
$$ 0.74 = \frac{74}{100} $$
- Simplify the Fraction
Now, we simplify the fraction $\frac{74}{100}$. We find the greatest common divisor (GCD) of 74 and 100, which is 2. Thus, we simplify as follows:
$$ \frac{74 \div 2}{100 \div 2} = \frac{37}{50} $$
- Combine the Integer and Fraction
Finally, we combine the integer part (3) with the simplified fraction:
$$ 3.74 = 3 + \frac{37}{50} = \frac{3 \cdot 50 + 37}{50} = \frac{150 + 37}{50} = \frac{187}{50} $$
The fraction equivalent of the decimal 3.74 is $\frac{187}{50}$.
More Information
Converting decimals to fractions is a useful skill that helps in understanding the relationships between numbers. In this case, 3.74 is an improper fraction since the numerator (187) is greater than the denominator (50).
Tips
A common mistake is forgetting to simplify the fraction after converting the decimal. To avoid this, always check for the greatest common divisor and reduce the fraction if possible.
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