# How to reduce (simplify) fraction 782/1,951 to lowest terms? Write it as a proper fraction, a decimal number, a percentage

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

 How to reduce (simplify) fraction: 782/1,951? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 13,333/20? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 123/100? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 95,944/76,761? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 90/324? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 2/84,145? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 1,749,338/1,943,700? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 10,515/720? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 52,714/36,904? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 31,444/1,236,039,994? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 114/783? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 2,455,669,250/1,718,968,479? Jul 30 16:41 UTC (GMT) How to reduce (simplify) fraction: 5,031/40? Jul 30 16:41 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.