Simplify 30/38

30/38 simplified is 15/19, after dividing the top and bottom by 2.

Result

Answer

\frac{30}{38} = \textcolor{#0b5c56}{\frac{15}{19}}

30/38 simplifies to 15/19.

  • Greatest common factor: 2
  • Decimal: \displaystyle 0.78947368\ldots (a block of 18 digits repeats, about 0.7895)
  • Percent: 78.95%
30/3815/19

Same amount, fewer parts

Step-by-step solution

The problem

\frac{30}{38}

  1. Find the greatest common factor. List the factors of each:
    Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
    Factors of 38: 1, 2, 19, 38
    The greatest common factor (GCF) is 2.

    \text{GCF}(30, 38) = 2

  2. Divide the top and bottom by 2. Dividing both by the same number keeps the value the same.

    = \frac{30 \div 2}{38 \div 2} = \textcolor{#0b5c56}{\frac{15}{19}}

All the working together

\begin{aligned} &\frac{30}{38} \\[8pt] &= \frac{30 \div 2}{38 \div 2} && \textcolor{#5b6660}{\textsf{divide by 2}} \\[8pt] &= \textcolor{#0b5c56}{\frac{15}{19}}\end{aligned}

30/38 in other forms

Simplest form15/19
Greatest common factor2
Decimal0.789473684210526315… (a block of 18 digits repeats)
Percent≈ 78.95%
Equal fractions45/57, 60/76, 75/95, 90/114

Fractions over 38 simplified

FractionSimplest formDecimal
1/38already simplest0.0263157894736842105…
2/381/190.052631578947368421…
3/38already simplest0.0789473684210526315…
4/382/190.105263157894736842…
5/38already simplest0.1315789473684210526…
6/383/190.157894736842105263…
7/38already simplest0.1842105263157894736…
8/384/190.210526315789473684…
9/38already simplest0.2368421052631578947…
10/385/190.263157894736842105…
11/38already simplest0.2894736842105263157…
12/386/190.315789473684210526…
13/38already simplest0.3421052631578947368…
14/387/190.368421052631578947…
15/38already simplest0.3947368421052631578…
16/388/190.421052631578947368…
17/38already simplest0.4473684210526315789…
18/389/190.473684210526315789…
19/381/20.5
20/3810/190.526315789473684210…
21/38already simplest0.5526315789473684210…
22/3811/190.578947368421052631…
23/38already simplest0.6052631578947368421…
24/3812/190.631578947368421052…
25/38already simplest0.6578947368421052631…
26/3813/190.684210526315789473…
27/38already simplest0.7105263157894736842…
28/3814/190.736842105263157894…
29/38already simplest0.7631578947368421052…
30/3815/190.789473684210526315…
31/38already simplest0.8157894736842105263…
32/3816/190.842105263157894736…
33/38already simplest0.8684210526315789473…
34/3817/190.894736842105263157…
35/38already simplest0.9210526315789473684…
36/3818/190.947368421052631578…
37/38already simplest0.9736842105263157894…

Frequently asked questions

What is 30/38 in simplest form?

30/38 simplifies to 15/19. Divide the top and bottom by 2, their greatest common factor: 30 ÷ 2 = 15 and 38 ÷ 2 = 19.

What is the greatest common factor of 30 and 38?

The GCF of 30 and 38 is 2 – the biggest number that divides both with nothing left over.

Is 30/38 equal to 15/19?

Yes. Both are 0.789473684210526315… (≈ 78.95%). Simplifying changes how the fraction is written, not its value.

More fractions to simplify

Any other fraction or mixed number: use the Simplify Fractions Calculator.