Q. What is \( \frac{1.2}{5} \) as a fraction?
Answer
Convert the decimal to a fraction.
\(1.2=\frac{12}{10}\)
Simplify the fraction.
\(\frac{12}{10}=\frac{6}{5}\)
Now divide by \(5\).
\(\frac{6}{5}\div 5\)
Dividing by \(5\) is the same as multiplying by \(\frac{1}{5}\).
\(\frac{6}{5}\cdot\frac{1}{5}\)
Multiply the numerators and denominators.
\(\frac{6}{25}\)
Final result: \(\frac{6}{25}\)
Detailed Explanation
- Understand the problem: you want the fraction equivalent of the quotient 1.2 divided by 5, that is \(1.2 \div 5\).
- Convert the decimal 1.2 into a fraction. Since 1.2 has one decimal place, write it as tenths:\(1.2 = \dfrac{12}{10}\).Simplify this fraction by dividing numerator and denominator by their greatest common divisor, 2:
\(\dfrac{12}{10} = \dfrac{12 \div 2}{10 \div 2} = \dfrac{6}{5}\).
- Compute the division by rewriting as multiplication by the reciprocal of 5:\(\dfrac{6}{5} \div 5 = \dfrac{6}{5} \times \dfrac{1}{5}\).
- Multiply numerators and denominators:\(\dfrac{6}{5} \times \dfrac{1}{5} = \dfrac{6 \times 1}{5 \times 5} = \dfrac{6}{25}\).
- Check for simplification: the greatest common divisor of 6 and 25 is 1, so \(\dfrac{6}{25}\) is already in simplest form.
- Optional decimal check: \(\dfrac{6}{25} = 0.24\), which equals \(1.2 \div 5\).
Final answer: \(\dfrac{6}{25}\).
See full solution
Arithmetic FAQs
How do you convert \(1.2\) into a fraction?
Write the decimal as tenths: \(1.2=\frac{12}{10}\). Simplify by dividing numerator and denominator by 2: \(\frac{12}{10}=\frac{6}{5}\).
How do you compute \(1.2\) divided by \(5\) using fractions?.
Convert first: \(1.2=\frac{6}{5}\). Then \(\frac{6}{5}\div 5=\frac{6}{5}\times\frac{1}{5}=\frac{6}{25}\).
What is \(1.2/5\) in simplest fractional form?
The simplified fraction is \( \frac{6}{25} \).
What is \(1.2/5\) as a decimal?
\( \frac{6}{25}=0.24 \).
How can I check my fraction is correct?
Multiply back: \(5\times\frac{6}{25}=\frac{30}{25}=\frac{6}{5}=1.2\). The product returns the original number, so it's correct.
How do I convert the result to a percent?
How do I convert the result to a percent?
How do I express \(1.2/5\) with denominator \(100\)?
As a fraction with denominator 100: \(0.24=\frac{24}{100}\), which simplifies to \(\frac{6}{25}\).
Could you show a quick one-line method?
Move one decimal place: \(1.2\div5=0.24\). Then write \(0.24=\frac{24}{100}=\frac{6}{25}\).
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