Math

QuestionConvert 0.6 to a simplified fraction. What is the lowest terms fraction for 0.60.6?

Studdy Solution

STEP 1

Assumptions1. The number to be converted into a fraction is0.6. The fraction should be in its lowest terms

STEP 2

First, we need to express0.6 as a fraction. Since0.6 is a decimal, we can write it as a fraction with denominator10.
0.6=6100.6 = \frac{6}{10}

STEP 3

Now, we need to simplify this fraction to its lowest terms. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number.
The GCD of6 and10 is2.

STEP 4

Divide both the numerator and the denominator by the GCD.
610=6/210/2\frac{6}{10} = \frac{6/2}{10/2}

STEP 5

Calculate the simplified fraction.
/210/2=35\frac{/2}{10/2} = \frac{3}{5}So, 0.=350. = \frac{3}{5} in lowest terms.

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