Subtract fractions: - 15/16 + 25 = ? Subtraction of ordinary (simple, common) fractions, result explained

The executed operation (with ordinary fractions):
- 15/16 + 25

Reduce (simplify) fractions to their lowest terms equivalents:

Fraction: - 15/16 already reduced to the lowest terms.
The numerator and the denominator have no common prime factors.
Their prime factorization:
15 = 3 × 5;
16 = 24;

Reduce (simplify) fractions to their simplest form, online calculator


Rewrite the expression:

As a positive improper fraction (numerator >= denominator):

25 - 15/16 =


(25 × 16)/16 - 15/16 =


(25 × 16 - 15)/16 =


385/16

As a mixed number (also called a mixed fraction):

Mixed number = a whole number and a proper fraction, of the same sign.


Proper fraction = numerator smaller than denominator.


385 ÷ 16 = 24 and remainder = 1 =>


385 = 24 × 16 + 1 =>


385/16 =


(24 × 16 + 1)/16 =


(24 × 16)/16 + 1/16 =


24 + 1/16 =


24 1/16

As a decimal number:

24 + 1/16 =


24 + 1 ÷ 16 =


24.0625 ≈


24.06

As a percentage:

24.0625 =


24.0625 × 100/100 =


(24.0625 × 100)/100 =


2,406.25/100 =


2,406.25%

>> Convert fractions to percentages, online calculator


The final answer:
:: written in four ways ::

As a positive improper fraction (numerator >= denominator):
- 15/16 + 25 = 385/16

As a mixed number (also called a mixed fraction):
- 15/16 + 25 = 24 1/16

As a decimal number:
- 15/16 + 25 ≈ 24.06

As a percentage:
- 15/16 + 25 = 2,406.25%

How to subtract the ordinary fractions:
- 19/23 + 37/10

Writing numbers: comma ',' used as a thousands separator; point '.' used as a decimal mark;

Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

Subtract ordinary fractions, online calculator

The latest subtracted fractions

- 15/16 + 25 = ? Oct 29 23:19 UTC (GMT)
- 14/35 + 23/44 = ? Oct 29 23:19 UTC (GMT)
37/23 + 37/30 + 42/19 = ? Oct 29 23:19 UTC (GMT)
41/16 + 28/23 = ? Oct 29 23:19 UTC (GMT)
56/4 + 56/4 = ? Oct 29 23:18 UTC (GMT)
11/5 + 7/4 = ? Oct 29 23:18 UTC (GMT)
- 15/121 + 20/164 = ? Oct 29 23:18 UTC (GMT)
3/8 + 6/8 = ? Oct 29 23:18 UTC (GMT)
39/246 - 52/2,048 + 46/11 = ? Oct 29 23:18 UTC (GMT)
19/29 + 20/27 = ? Oct 29 23:18 UTC (GMT)
- 335,647/13 - 335,653/8 = ? Oct 29 23:18 UTC (GMT)
9/14 - 9/49 = ? Oct 29 23:18 UTC (GMT)
22/23 + 38/22 = ? Oct 29 23:18 UTC (GMT)
see more... subtracted fractions

How to: Subtracting ordinary (simple, common) math fractions. Steps.

There are two cases regarding the denominators when we subtract ordinary fractions:

  • A. the fractions have like denominators;
  • B. the fractions have unlike denominators.

A. How to subtract ordinary fractions that have like denominators?

  • Simply subtract the numerators of the fractions.
  • The denominator of the resulting fraction will be the common denominator of the fractions.
  • Reduce the resulting fraction.

An example of subtracting ordinary fractions that have like denominators, with explanations

  • 3/18 + 4/18 - 5/18 = (3 + 4 - 5)/18 = 2/18;

  • We simply subtracted the numerators of the fractions: 3 + 4 - 5 = 2;
  • The denominator of the resulting fraction is: 18;
  • The resulting fraction is being reduced as: 2/18 = (2 ÷ 2)/(18 ÷ 2) = 1/9.

  • How to reduce (simplify) the common fraction 2/18?

B. To subtract fractions with different denominators (unlike denominators), build up the fractions to the same denominator. How is it done?

  • 1. Reduce the fractions to the lowest terms (simplify them).

  • 2. Calculate the least common multiple, LCM, of all the fractions' new denominators:

    • LCM is going to be the common denominator of the added fractions, also called the lowest common denominator (the least common denominator).
    • Factor all the new denominators of the reduced fractions (run the prime factorization).
    • The least common multiple, LCM, is the product of all the unique prime factors of the denominators, multiplied by the largest exponents.
    • Calculate LCM, the least common multiple of numbers, online.

  • 3. Calculate each fraction's expanding number:

    • The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to the same common denominator.
    • Divide the least common multiple, LCM, calculated above, by the denominator of each fraction, in order to calculate each fraction's expanding number.
  • 4. Expand each fraction:

    • Multiply each fraction's both numerator and denominator by the expanding number.
    • At this point, fractions are built up to the same denominator.
  • 5. Subtract the fractions:

    • In order to subtract all the fractions simply subtract all the fractions' numerators.
    • The end fraction will have as a denominator the least common multiple, LCM, calculated above.
  • 6. Reduce the end fraction to the lowest terms, if needed.

... Read the rest of this article, here: How to subtract ordinary (common) fractions?

More on ordinary (common) math fractions theory: