Math  /  Numbers & Operations

QuestionConvert the fraction to a decimal. 315\frac{3}{15} 0.2 0.3 0.3333... 0.5

Studdy Solution

STEP 1

1. The problem asks to convert the fraction 315\frac{3}{15} to a decimal.
2. The fraction 315\frac{3}{15} can be simplified if possible.
3. The simplified fraction can then be converted to a decimal format.

STEP 2

1. Simplify the fraction 315\frac{3}{15} if possible.
2. Convert the simplified fraction to a decimal.

STEP 3

Simplify the fraction 315\frac{3}{15} by finding the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 3 and 15 is 3.

STEP 4

Divide both the numerator and the denominator by the GCD.
315=3÷315÷3=15 \frac{3}{15} = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}

STEP 5

Convert the simplified fraction 15\frac{1}{5} to a decimal.
15=0.2 \frac{1}{5} = 0.2
Solution: The decimal representation of 315\frac{3}{15} is 0.20.2.

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