2.6 as a fraction
Understand the Problem
The question is asking to convert the decimal number 2.6 into a fraction. This involves identifying the place value of the decimal and expressing it as a fraction.
Answer
\( \frac{13}{5} \)
Answer for screen readers
The decimal 2.6 as a fraction is ( \frac{13}{5} )
Steps to Solve
-
Identify the place value of the decimal
The decimal 2.6 means there is a digit in the tenths place. It can be written as:
$$2.6 = 2 + \frac{6}{10}$$
- Convert the decimal part to a fraction
The decimal part, 0.6, can be written as a fraction. Since 6 is in the tenths place, it equals
$$\frac{6}{10}$$
- Simplify the fraction
Simplify ( \frac{6}{10} ) by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 2:
$$\frac{6 \div 2}{10 \div 2} = \frac{3}{5}$$
- Combine the whole number and the fraction
Now combine the whole number part and the simplified fraction part:
$$2 + \frac{3}{5}$$
The mixed number 2 and ( \frac{3}{5} ) can also be written as an improper fraction:
$$2 \frac{3}{5} = \frac{10}{5} + \frac{3}{5} = \frac{13}{5}$$
The decimal 2.6 as a fraction is ( \frac{13}{5} )
More Information
Converting decimals to fractions is a useful skill in mathematics, particularly when dealing with precise measurements or when a decimal number needs to be expressed as a fraction.
Tips
A common mistake is to incorrectly simplify the fraction. Always find the greatest common divisor (GCD) to ensure the fraction is in its simplest form.
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