0.74 as a Fraction

0.74 as a fraction is 37/50 in simplest form, which is 74%.

Result

Answer

0.74 = \textcolor{#0b5c56}{\frac{37}{50}}

0.74 as a fraction is 37/50.

  • Percent: 74%
0137/50

Step-by-step solution

The problem

0.74

  1. Write the digits over 100. 0.74 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{74}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 74 &= 2 \times 37 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The only factor they share is 2, so the greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{74 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{37}{50}}

All the working together

\begin{aligned} &0.74 \\[8pt] &= \frac{74}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{74 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{37}{50}}\end{aligned}

0.74 in other forms

Fraction (simplest form)37/50
Before simplifying74/100
Percent74%
The other way37/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.6969/10069%
0.77/1070%
0.7171/10071%
0.7218/2572%
0.7373/10073%
0.7437/5074%
0.753/475%
0.7619/2576%
0.7777/10077%
0.7839/5078%
0.7979/10079%

Frequently asked questions

What is 0.74 as a fraction?

0.74 as a fraction is 37/50. 0.74 has 2 decimal places, so write the digits over 100: 74/100. Divide the top and bottom by 2 (their greatest common factor) to get 37/50.

What is 0.74 as a percent?

0.74 is 74%: multiply by 100 (move the decimal point two places to the right).

Is 37/50 the simplest form?

Yes. 37 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 74/100.

More decimals as fractions

Any other decimal, including longer repeating ones: use the Decimal to Fraction Calculator, or look it up on the printable fraction chart.