Math

QuestionReduce the fraction 48/56 to its simplest form. What is the result?

Studdy Solution

STEP 1

Assumptions1. We are given a fraction 4856\frac{48}{56} . We are asked to reduce this fraction to its lowest terms

STEP 2

To reduce a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

STEP 3

Let's find the GCD of48 and56.

STEP 4

The factors of48 are1,2,3,4,6,8,12,16,24,48

STEP 5

The factors of56 are1,2,4,7,8,14,28,56

STEP 6

The common factors of48 and56 are1,2,4,8

STEP 7

The greatest common divisor (GCD) of48 and56 is.

STEP 8

Now, we divide both the numerator and the denominator of the fraction by the GCD.
4856=48/856/8\frac{48}{56} = \frac{48/8}{56/8}

STEP 9

Perform the division to get the fraction in its lowest terms.
4856=67\frac{48}{56} = \frac{6}{7}The fraction 4856\frac{48}{56} reduced to its lowest terms is 67\frac{6}{7}.

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