# How to reduce (simplify) to lowest terms ordinary (common) math fraction 526/4? Result written as: an improper fraction, a mixed number, a decimal number and a percentage

## Latest fractions reduced (simplified) to the lowest terms

 4,110/30 = (4,110 ÷ 30)/(30 ÷ 30) = 137 Nov 25 19:12 UTC (GMT) 526/4 = (526 ÷ 2)/(4 ÷ 2) = 263/2; 263 > 2 => improper fraction Rewrite: 263 ÷ 2 = 131 and remainder = 1 => 263/2 = (131 × 2 + 1)/2 = 131 + 1/2 = = 131 1/2, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 4,248/100 = (4,248 ÷ 4)/(100 ÷ 4) = 1,062/25; 1,062 > 25 => improper fraction Rewrite: 1,062 ÷ 25 = 42 and remainder = 12 => 1,062/25 = (42 × 25 + 12)/25 = 42 + 12/25 = = 42 12/25, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 4,110/30 = (4,110 ÷ 30)/(30 ÷ 30) = 137 Nov 25 19:12 UTC (GMT) 36/54 = (36 ÷ 18)/(54 ÷ 18) = 2/3 Nov 25 19:12 UTC (GMT) 500/101 already reduced (simplified) to lowest terms 500 > 101 => improper fraction Rewrite: 500 ÷ 101 = 4 and remainder = 96 => 500/101 = (4 × 101 + 96)/101 = 4 + 96/101 = = 4 96/101, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 40,332/33,340 = (40,332 ÷ 4)/(33,340 ÷ 4) = 10,083/8,335; 10,083 > 8,335 => improper fraction Rewrite: 10,083 ÷ 8,335 = 1 and remainder = 1,748 => 10,083/8,335 = (1 × 8,335 + 1,748)/8,335 = 1 + 1,748/8,335 = = 1 1,748/8,335, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 930/100 = (930 ÷ 10)/(100 ÷ 10) = 93/10; 93 > 10 => improper fraction Rewrite: 93 ÷ 10 = 9 and remainder = 3 => 93/10 = (9 × 10 + 3)/10 = 9 + 3/10 = = 9 3/10, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 373/180 already reduced (simplified) to lowest terms 373 > 180 => improper fraction Rewrite: 373 ÷ 180 = 2 and remainder = 13 => 373/180 = (2 × 180 + 13)/180 = 2 + 13/180 = = 2 13/180, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 2,078/36 = (2,078 ÷ 2)/(36 ÷ 2) = 1,039/18; 1,039 > 18 => improper fraction Rewrite: 1,039 ÷ 18 = 57 and remainder = 13 => 1,039/18 = (57 × 18 + 13)/18 = 57 + 13/18 = = 57 13/18, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 999/308 already reduced (simplified) to lowest terms 999 > 308 => improper fraction Rewrite: 999 ÷ 308 = 3 and remainder = 75 => 999/308 = (3 × 308 + 75)/308 = 3 + 75/308 = = 3 75/308, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 999/308 already reduced (simplified) to lowest terms 999 > 308 => improper fraction Rewrite: 999 ÷ 308 = 3 and remainder = 75 => 999/308 = (3 × 308 + 75)/308 = 3 + 75/308 = = 3 75/308, mixed number (mixed fraction) Nov 25 19:12 UTC (GMT) 590/990 = (590 ÷ 10)/(990 ÷ 10) = 59/99 Nov 25 19:12 UTC (GMT) reduced fractions, see more...

## Tutoring: simplifying ordinary math fractions (reducing to the lowest terms)

### Steps to simplify an ordinary fraction, to reduce it to its lowest terms:

• 1) Factor both the numerator and the denominator of the fraction into prime factors.
• 2) Calculate the greatest common factor, GCF (or the greatest common divisor, GCD) of the fraction's numerator and denominator.
• 3) Divide both the numerator and the denominator of the fraction by the greatest common factor, GCF (GCD).
• In conclusion: the fraction thus obtained is called a reduced fraction or a fraction simplified to its lowest terms.
• A fraction reduced to its lowest terms cannot be further reduced and it is called an irreducible fraction.

### Why reducing (simplifying) fractions to lower terms?

• When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
• Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
• By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.