# How to reduce (simplify) to lowest terms ordinary (common) math fraction 30/42? Result written as: a proper fraction, a decimal number and a percentage

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

 How to reduce (simplify) fraction: 30/42? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 60,066/10? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 14,565/8? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 561/1,138? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 0/57? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 2,000/1,739? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 6/21? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 39,516/100? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 100/2,133? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 2,020,205/2,020,209? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 257/19? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 26/5,687? Jan 16 21:20 UTC (GMT) How to reduce (simplify) fraction: 140,000,000/2,453? Jan 16 21:20 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.