🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

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

  1. 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.

  1. 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: $$ \frac{148 \div 4}{100 \div 4} = \frac{37}{25} $$

  1. 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.
Thank you for voting!
Use Quizgecko on...
Browser
Browser