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Ratio to Fraction Calculator

Convert Ratio to Fraction
:
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Answer:

Part A is 1/4 of the whole
Part B is 3/4 of the whole

Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 9 = 12

Part A = 3 and Part B = 9 are numerators for each fraction.

The fractions are then:
3/12 and 9/12

Meaning:
Part A is 3/12 of the whole
Part B is 9/12 of the whole

Reducing the fractions, it is also true that:
Part A = 1/4 of the whole
Part B = 3/4 of the whole


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Calculator Use

Convert ratios to fractions. The ratio to fraction calculator finds fraction equivalents of ratio terms and reduces the fractions to simplest form.

Enter part-to-part or part-to-whole ratios.

Convert Part-to-Part Ratio to Fractions

Say you have a bowl of fruit with 6 apples and 8 bananas. There are 14 total pieces of fruit and the ratio of apples to bananas is 6 : 8.

To convert part-to-part ratios to fractions:

  1. Use the total number as the denominator: 6 + 8 = 14
  2. Use each of the ratio terms as the numerator in a fraction:
    6 becomes 6/14
    8 becomes 8/14
  3. Reduce each fraction to lowest terms:
    6/14 simplifies to 3/7
    8/14 simplifies to 4/7
  4. The part-to-part ratio 6 : 8 converts into the fractions:
    6/14 = 3/7
    8/14 = 4/7
  5. You can conclude that of the 14 pieces of fruit with an apple-to-banana ratio of 6 : 8, 3/7 are apples and 4/7 are bananas.

Convert Part-to-Whole Ratio to Fractions

Take that same bowl of fruit with 6 apples and 8 bananas, 14 total pieces of fruit. The apple to total fruit ratio is 6 : 14, and the banana to total fruit ratio is 8 : 14. Unlike part-to-part ratios, part-to-whole ratios can be converted directly into fractions given the stated ratios.

To convert part-to-whole ratios into fractions:

  1. Convert the part-to-whole ratios directly into fractions:
    6 : 14 becomes 6/14
    8 : 14 becomes 8/14
  2. Reduce each fraction to lowest terms:
    6/14 simplifies to 3/7
    8/14 simplifies to 4/7
  3. The part-to-whole ratios convert into the fractions:
    Apples to total fruit = 6 : 14 = 6/14 = 3/7
    Bananas to total fruit = 8 : 14 = 8/14 = 4/7

Related Calculators

To reduce a ratio to lowest terms in whole numbers see our Ratio Simplifier.

To simplify a fraction or improper fraction into a reduced fraction or mixed number use our Simplifying Fractions Calculator.

To compare ratios or solve for equivalent ratios see our Ratio Calculator.



 

Cite this content, page or calculator as:

Furey, Edward "Ratio to Fraction Calculator"; from https://www.calculatorsoup.com - Online Calculator Resource.

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