Menu Calculator: ordinary math fractions reducing to lowest terms (simplifying) explained. Result as a proper, improper fraction (mixed number), decimal

Online calculator: reduce (simplify) fractions

How to reduce (simplify) to lowest terms ordinary math fraction: To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. Result written as a proper or improper fraction, a mixed number or a decimal Latest reduced (simplified) fractions ^{145} /_{100} = ^{(145 ÷ 5)} /_{(100 ÷ 5)} = ^{29} /_{20} ; 29 > 20 => improper fraction Rewrite: 29 ÷ 20 = 1 and remainder = 9 => ^{29} /_{20} = ^{(1 × 20 + 9)} /_{20} = 1 + ^{9} /_{20} = = 1 ^{9} /_{20} , mixed number (mixed fraction) May 24 07:47 UTC (GMT) ^{121} /_{225} already reduced (simplified) to lowest terms May 24 07:47 UTC (GMT) ^{77} /_{18} already reduced (simplified) to lowest terms 77 > 18 => improper fraction Rewrite: 77 ÷ 18 = 4 and remainder = 5 => ^{77} /_{18} = ^{(4 × 18 + 5)} /_{18} = 4 + ^{5} /_{18} = = 4 ^{5} /_{18} , mixed number (mixed fraction) May 24 07:47 UTC (GMT) ^{458} /_{20} = ^{(458 ÷ 2)} /_{(20 ÷ 2)} = ^{229} /_{10} ; 229 > 10 => improper fraction Rewrite: 229 ÷ 10 = 22 and remainder = 9 => ^{229} /_{10} = ^{(22 × 10 + 9)} /_{10} = 22 + ^{9} /_{10} = = 22 ^{9} /_{10} , mixed number (mixed fraction) May 24 07:47 UTC (GMT) ^{5} /_{45} = ^{(5 ÷ 5)} /_{(45 ÷ 5)} = ^{ 1} /_{9 } May 24 07:46 UTC (GMT) ^{39} /_{50} already reduced (simplified) to lowest terms May 24 07:46 UTC (GMT) ^{60} /_{144} = ^{(60 ÷ 12)} /_{(144 ÷ 12)} = ^{ 5} /_{12 } May 24 07:46 UTC (GMT) ^{132} /_{54} = ^{(132 ÷ 6)} /_{(54 ÷ 6)} = ^{22} /_{9} ; 22 > 9 => improper fraction Rewrite: 22 ÷ 9 = 2 and remainder = 4 => ^{22} /_{9} = ^{(2 × 9 + 4)} /_{9} = 2 + ^{4} /_{9} = = 2 ^{4} /_{9} , mixed number (mixed fraction) May 24 07:46 UTC (GMT) ^{10,200} /_{10,600} = ^{(10,200 ÷ 200)} /_{(10,600 ÷ 200)} = ^{ 51} /_{53 } May 24 07:46 UTC (GMT) ^{365} /_{146} = ^{(365 ÷ 73)} /_{(146 ÷ 73)} = ^{5} /_{2} ; 5 > 2 => improper fraction Rewrite: 5 ÷ 2 = 2 and remainder = 1 => ^{5} /_{2} = ^{(2 × 2 + 1)} /_{2} = 2 + ^{1} /_{2} = = 2 ^{1} /_{2} , mixed number (mixed fraction) May 24 07:46 UTC (GMT) ^{11} /_{162} already reduced (simplified) to lowest terms May 24 07:46 UTC (GMT) ^{145} /_{24} already reduced (simplified) to lowest terms 145 > 24 => improper fraction Rewrite: 145 ÷ 24 = 6 and remainder = 1 => ^{145} /_{24} = ^{(6 × 24 + 1)} /_{24} = 6 + ^{1} /_{24} = = 6 ^{1} /_{24} , mixed number (mixed fraction) May 24 07:46 UTC (GMT) ^{6} /_{9} = ^{(6 ÷ 3)} /_{(9 ÷ 3)} = ^{ 2} /_{3 } May 24 07:46 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.