subract 7/36 from 1/9
Answers
Answer:
7/36 - 1/9 =
(1 × 7)/(1 × 36) - (4 × 1)/(4 × 9) =
7/36 - 4/36 =
(7 - 4)/36 =
3/36
Step-by-step explanation:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
36 = 22 × 32;
gcf (7; 22 × 32) = 1;
LCM will be the common denominator of the fractions that we work with.
The prime factorization of the denominators:
36 = 22 × 32;
9 = 32;
Multiply all the unique prime factors, by the largest exponents:
LCM (36; 9) = 22 × 32 = 36
Divide LCM by the numerator of each fraction.
For fraction: 7/36 is 36 ÷ 36 = 1;
For fraction: - 1/9 is 36 ÷ 9 = (22 × 32) ÷ 32 = 4;
Step-by-step explanation:
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