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

The final answer::: written in three means ::


Subtract ordinary fractions, digital calculator

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

The recent subtracted fountain


16/15 - 2/5 = ? Nov 09 16:25 UTC (GMT)
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16/15 - 2/5 = ? Nov 09 16:25 UTC (GMT)
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9/10 - 2/5 = ? Nov 09 16:24 UTC (GMT)
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How to: Subtracting simple (simple, common) math fractions. Steps.


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