Solved on Nov 07, 2023

Simplify the division 28÷2028 \div 20.

STEP 1

Assumptions1. We are asked to simplify the ratio 28202820. . To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by the GCD.

STEP 2

First, we need to find the GCD of28 and20.

STEP 3

The factors of28 are1,2,,7,14,28 and the factors of20 are1,2,,5,10,20.

STEP 4

The common factors of28 and20 are1,2, and4. The greatest common divisor (GCD) is4.

STEP 5

Now that we have the GCD, we can simplify the ratio by dividing both numbers by the GCD.implifiedratio=28GCD20GCDimplified\, ratio = \frac{28}{GCD} \frac{20}{GCD}

STEP 6

Plug in the values for the numbers and the GCD to simplify the ratio.
implifiedratio=284204implified\, ratio = \frac{28}{4} \frac{20}{4}

STEP 7

Calculate the simplified ratio.
implifiedratio=75implified\, ratio =75The ratio 28202820 in its simplest form is 7575.

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