Math

QuestionSimplify the fraction 26\frac{2}{6}.

Studdy Solution

STEP 1

Assumptions1. The fraction we want to simplify is 6\frac{}{6}

STEP 2

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that can divide both numbers without leaving a remainder.

STEP 3

The factors of2 are1 and2. The factors of6 are1,2,3, and6. The greatest common factor (GCF) of2 and6 is2.

STEP 4

Now that we have the GCD, we can divide both the numerator and the denominator of the fraction by the GCD to simplify the fraction.
26=2÷26÷2\frac{2}{6} = \frac{2 \div2}{6 \div2}

STEP 5

Perform the division to simplify the fraction.
2÷2÷2=13\frac{2 \div2}{ \div2} = \frac{1}{3}So, 2\frac{2}{} in simplest form is 13\frac{1}{3}.

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