0.42 as a Fraction

0.42 as a fraction is 21/50 in simplest form, which is 42%.

Result

Answer

0.42 = \textcolor{#0b5c56}{\frac{21}{50}}

0.42 as a fraction is 21/50.

  • Percent: 42%
0121/50

Step-by-step solution

The problem

0.42

  1. Write the digits over 100. 0.42 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{42}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 42 &= 2 \times 3 \times 7 \\[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{42 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{21}{50}}

All the working together

\begin{aligned} &0.42 \\[8pt] &= \frac{42}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{42 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{21}{50}}\end{aligned}

0.42 in other forms

Fraction (simplest form)21/50
Before simplifying42/100
Percent42%
The other way21/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.3737/10037%
0.3819/5038%
0.3939/10039%
0.42/540%
0.4141/10041%
0.4221/5042%
0.4343/10043%
0.4411/2544%
0.459/2045%
0.4623/5046%
0.4747/10047%

Frequently asked questions

What is 0.42 as a fraction?

0.42 as a fraction is 21/50. 0.42 has 2 decimal places, so write the digits over 100: 42/100. Divide the top and bottom by 2 (their greatest common factor) to get 21/50.

What is 0.42 as a percent?

0.42 is 42%: multiply by 100 (move the decimal point two places to the right).

Is 21/50 the simplest form?

Yes. 21 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 42/100.

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.