Math

QuestionCalculate the value of 13064\frac{130}{64}.

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the fraction 13064\frac{130}{64}.

STEP 2

First, we need to find the greatest common divisor (GCD) of the numerator (130) and the denominator (64). The GCD is the largest number that divides both numbers without leaving a remainder.

STEP 3

Find the GCD of130 and64.

STEP 4

The GCD of130 and64 is2.

STEP 5

Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
13064=130/264/2\frac{130}{64} = \frac{130/2}{64/2}

STEP 6

Calculate the simplified fraction.
13064=130/264/2=6532\frac{130}{64} = \frac{130/2}{64/2} = \frac{65}{32}The simplified form of 13064\frac{130}{64} is 6532\frac{65}{32}.

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