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What is the ratio of 500 to 2000?

Published in Ratios and Proportions 1 min read

The ratio of 500 to 2000 is 1:4.

Explanation

To find the ratio of 500 to 2000, we can express it as a fraction and then simplify the fraction to its lowest terms.

  • Step 1: Write the ratio as a fraction.

    The ratio of 500 to 2000 can be written as 500/2000.

  • Step 2: Simplify the fraction.

    To simplify 500/2000, we find the highest common factor (HCF) of 500 and 2000. The HCF is 500. We then divide both the numerator and the denominator by the HCF.

    500 ÷ 500 = 1
    2000 ÷ 500 = 4

    Therefore, the simplified fraction is 1/4.

  • Step 3: Express the simplified fraction as a ratio.

    The simplified fraction 1/4 can be expressed as the ratio 1:4.

As shown in the reference (= 14=1:4 [Dividing numerator and denominator by HCF of 500 and 2000 i.e. 500]), dividing both 500 and 2000 by their HCF (which is 500) gives us the simplified ratio of 1:4.

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