find the difference of 5/8 and 7/16
Answers
Answer:
-3/16
Step-by-step explanation:
7/16 - 5/8
LCM of denominator
then divide the LCM answer to each denominator
and multiple the respective quotient to numerator of each
then substract it .
-3/16
Answer:
Reduce (simplify) fractions to their lowest terms equivalents:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 5/8 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
5 is a prime number;
8 = 23;
gcf (5; 23) = 1;
Fraction: - 7/16 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
16 = 24;
gcf (7; 24) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
To operate fractions, build up their denominators the same.
Calculate LCM, the least common multiple of the denominators of the fractions:
LCM will be the common denominator of the fractions that we work with.
The prime factorization of the denominators:
8 = 23;
16 = 24;
Multiply all the unique prime factors, by the largest exponents:
LCM (8; 16) = 24 = 16
Calculate LCM, the least common multiple, online calculator
Calculate the expanding number of each fraction:
Divide LCM by the numerator of each fraction.
For fraction: 5/8 is 16 ÷ 8 = 24 ÷ 23 = 2;
For fraction: - 7/16 is 16 ÷ 16 = 1;
Build up the fractions to the same denominator:
Expand each fraction - multiply the numerator and denominator by the expanding number.
Then work with the numerators of the fractions.
5/8 - 7/16 =
(2 × 5)/(2 × 8) - (1 × 7)/(1 × 16) =
10/16 - 7/16 =
(10 - 7)/16 =
3/16
Reduce (simplify) the fraction to its lowest terms equivalent:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
3/16 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
3 is a prime number;
16 = 24;
gcf (3; 24) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
Rewrite the fraction
As a decimal number:
3/16 =
3 ÷ 16 =
0.1875 ≈
0.19
As a percentage:
0.1875 =
0.1875 × 100/100 =
(0.1875 × 100)/100 =
18.75/100 =
18.75%
>> Convert fractions to percentages, online calculator
The final answer:
:: written in three ways ::
As a positive proper fraction (numerator < denominator):
5/8 - 7/16 = 3/16
As a decimal number:
5/8 - 7/16 ≈ 0.19
As a percentage:
5/8 - 7/16 = 18.75%