Language food selection Subtract fractions: 16/15 - 2/5 = ? subtraction of simple (simple, common) fractions, an outcome explained

You are watching: 16/15 - 2/5 as a fraction

### Reduce (simplify) fractions to their lowest state equivalents:

To alleviate a fraction: division the numerator and also denominator by their greatest common factor, GCF.
Fraction: 16/15 already reduced to the lowest terms. The numerator and also denominator have actually no typical prime factors. Their prime factorization: 16 = 24; 15 = 3 × 5; gcf (24; 3 × 5) = 1; Fraction: - 2/5 currently reduced to the lowest terms. The numerator and also denominator have actually no usual prime factors. Their prime factorization: 2 is a element number; 5 is a prime number; gcf (2; 5) = 1;
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### Rewrite the not correct fractions:

Fraction: 16/15 16 ÷ 15 = 1 and remainder = 1 => 16 = 1 × 15 + 1 16/15 = (1 × 15 + 1)/15 = (1 × 15)/15 + 1/15 = 1 + 1/15;

## To operate fractions, develop up their denominators the same.

### Calculate LCM, the least typical multiple of the platform of the fractions:

LCM will be the common denominator of the fractions the we occupational with.
The prime factorization of the denominators: 15 = 3 × 5; 5 is a prime number; Multiply every the distinct prime factors, through the biggest exponents: LCM (15; 5) = 3 × 5 = 15
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### Calculate the expanding variety of each fraction:

Divide LCM through the molecule of each fraction. For fraction: 1/15 is 15 ÷ 15 = 1; because that fraction: - 2/5 is 15 ÷ 5 = (3 × 5) ÷ 5 = 3;
Expand each fraction - multiply the numerator and also denominator by the widening number. Then job-related with the numerators of the fractions.
1 + 1/15 - 2/5 = 1 + (1 × 1)/(1 × 15) - (3 × 2)/(3 × 5) = 1 + 1/15 - 6/15 = 1 + (1 - 6)/15 = 1 - 5/15

## Reduce (simplify) the portion to that is lowest state equivalent:

To minimize a fraction: divide the numerator and denominator by their greatest usual factor, GCF.

### Calculate the greatest usual factor, GCF.

calculate the greatest usual factor, GCF, through multiplying all the common prime determinants of the numerator and denominator, by the lowest exponents: gcf (5; 15) = gcf (5; 3 × 5) = 5;

### Fraction deserve to be diminished (simplified).

Divide both the numerator and also denominator by your greatest typical factor, GCF:
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### Rewrite the equivalent simplified operation:

>> transform fractions to percentages, virtual calculator

## Subtract ordinary fractions, digital calculator

Enter plain fractions come subtract, ie: 6/9 - 8/36 - 12/-90 + 5/20:

## The recent subtracted fountain

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