What is 28/40 in simplest form?

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What is 28/40 in simplest form?

Final Answer:

The fraction \frac{28}{40} can be simplified by finding the greatest common factor, which is 4. Dividing both the numerator and denominator by 4 gives us \frac{7}{10}. Therefore, \frac{28}{40} in simplest form is \frac{7}{10}.

Examples & Evidence:

To simplify the fraction \frac{28}{40}, we need to find the greatest common factor (GCF) of the numerator (28) and the denominator (40).

1. First, let’s find the factors of 28:

  • The factors are: 1, 2, 4, 7, 14, and 28.

2. Now, let’s find the factors of 40:

  • The factors are: 1, 2, 4, 5, 8, 10, 20, and 40.

3. The common factors of 28 and 40 are: 1, 2, and 4.

  • The greatest common factor is 4.

Now, we can divide both the numerator and the denominator by their GCF (4):

\frac{28 \div 4}{40 \div 4}=\frac{7}{10}
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Thus, the simplified form of \frac{28}{40} is \frac{7}{10}.

Explanation:

An example of simplifying another fraction is \frac{15}{25}. The GCF is 5, so when you divide both by 5, you get \frac{3}{5}. This demonstrates the same process used for simplifying \frac{28}{40}.

The method of simplifying fractions by finding the GCF is a standard mathematical practice, which can be found in basic arithmetic textbooks and resources. This process ensures that fractions are expressed in their simplest form, making calculations easier.

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