Pregunta
6. Write 0.24 as a reduced fraction.
Ask by Blake Daniel. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
0.24 as a reduced fraction is 6/25.
Solución
To express **0.24** as a reduced fraction, follow these steps:
1. **Write the decimal as a fraction:**
\[
0.24 = \frac{24}{100}
\]
2. **Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.**
- The factors of **24** are: 1, 2, 3, 4, 6, 8, 12, 24
- The factors of **100** are: 1, 2, 4, 5, 10, 20, 25, 50, 100
- The **GCD** of 24 and 100 is **4**.
3. **Divide both the numerator and the denominator by the GCD:**
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
So, the reduced fraction form of **0.24** is:
\[
\frac{6}{25}
\]
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Simplifique esta solución The Deep Dive
To write 0.24 as a reduced fraction, you can start by recognizing that 0.24 is the same as 24/100. Next, simplify this fraction by finding the greatest common divisor (GCD) of 24 and 100, which is 4. Dividing both the numerator and the denominator by 4 gives you 6/25. So, 0.24 as a reduced fraction is 6/25! Now, if you want to convert decimals to fractions easily, remember that each digit after the decimal point represents tenths, hundredths, thousandths, etc. Just place the decimal over its corresponding power of ten and simplify! For 0.24, it's straightforward: 24 (the numbers after the decimal) over 100 (since it's in the hundredths place). Easy-peasy!
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