Convert 1.48 to a fraction.
Understand the Problem
The question is asking how to convert the decimal number 1.48 into a fraction. This involves expressing the decimal as a ratio of two integers.
Answer
The fraction form of 1.48 is $\frac{37}{25}$.
Answer for screen readers
The decimal 1.48 can be expressed as the fraction $\frac{37}{25}$.
Steps to Solve
- Write the Decimal as a Fraction
To convert the decimal 1.48 into a fraction, first note that 1.48 can be expressed as follows: $$ 1.48 = \frac{148}{100} $$ This is because moving the decimal two places to the right turns 1.48 into 148, and we do the same in the denominator.
- Simplify the Fraction
Now, we need to simplify the fraction $ \frac{148}{100} $. We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 148 and 100 is 4, so we divide both by 4: $$ \frac{148 \div 4}{100 \div 4} = \frac{37}{25} $$
- Final Fraction Form
Thus, the decimal number 1.48 can be simplified to the fraction: $$ \frac{37}{25} $$
The decimal 1.48 can be expressed as the fraction $\frac{37}{25}$.
More Information
To convert a decimal to a fraction, remember that the decimal represents a value over a power of 10 based on the number of decimal places. In this case, 1.48 simplifies to $\frac{37}{25}$, which cannot be simplified further.
Tips
- Forgetting to simplify the fraction after converting from decimal: Always check for the GCD after forming the fraction from the decimal.
- Not correctly converting the decimal: Be careful with the number of digits after the decimal point when forming your initial fraction.
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