Ratio to Fraction Calculator

Mathematics has made our lives easy, it would have been so difficult if these formulas and equations were not a part of our lives. From Ramanujan and Hardy 1729 number and their infinity series, math has contributed to every second of or life and one such process is ratio to fraction conversion.

Ratio:

The duodecimal relation between two amounts showing the number of times one value contains or is contained within the other. For example, the ratio of width to height of standard definition television is 4:3.

Fraction:

A fraction, snippet or fragment can be defined as a numerical quantity that is not a whole number. For example, half can be represented in the form of fraction as ½.

Ratio as fraction:

Ratios are basically a method to show how one number is related to another number.

Craig once explained the theory of mixing paints; he actually used the process of ratio and fractions. He explained this theory by mixing two colors.

3 parts blue to 1 part white = 4 parts (3+1)

¾ blue to ¼ white = ¾: ¼

One more example could be us 1 shovel of cement to 3 shovels of sand.

The calculator:

The online calculator converts ratios to fractions. This calculator finds fraction equivalents of ratio terms and reduces the fraction into its simpler and original form. Part-to-part ratios and part-to-whole ratios can also be converted by this process.

Calculations of ratios to fractions:

Compare ratios and solve for missing value:

Enter A, B and C to find D.

The calculator solves for $D = C*(B/A)$

Enter A, B and D to find C.

The calculator solves for $C = D*(A/B)$

Convert part-to-part ratio to fractions:

Let us assume that you have a basket of fruit with 6 oranges and 10 watermelons. There are 14 total pieces of fruit and the ratio of oranges to watermelons is 6:10.

To covert part-to-part ratios to fractions:

• Add 6 and 10 i.e. 16 and put it in denominator.
• Use ratio terms as ratio terms as the numerator in a fraction:

i.e. $6 =6/16$
$10 = 10/16$
• Now reduce the fractions to its lowest terms.

$6/16 = 3/8$
$8/16 = 5/8$
• The part-to-part ratio 6:10 converts into the fractions.
• The conclusion we infer is that oranges are in the ratio 3/8 and watermelons are in the ratio 5/8.

Convert part-to-whole ratios into fractions:

We will follow the same example as stated above that there are 6 oranges and 10 watermelons in a basket, i.e. 16 total pieces of fruit.

• Convert the part to whole ratios directly into fractions:
  $6:16 = 6/16$
  $10:16 = 10/16$
• Now reduce each fractions to its lowest terms:
  $6/16 = 3/8$
  $10/16 = 5/8$
• The part-to-whole ratios convert into the fractions:
  $oranges\; to\;the\;total\;number\;of\;fruits = 6:16 = 6/16 = 3/8$
  $watermelons\;to\;the\;total\;number\;of\;fruits = 10:16 = 10/16 = 5/8$

These easy steps will definitely help you.