reduce the following 105/112 in HCF
Answers
Answer:
105 = 3 × 5 × 7
112 = 24 × 7
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How to reduce (simplify) the common fraction 105/112 to its simplest equivalent form, irreducible? Result written as a proper fraction, as a decimal number and as a percentage %
To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF
Factor both the numerator and the denominator, break them down to prime factors:
in the notation with exponents:
105 = 3 × 5 × 7
112 = 24 × 7
Calculate the prime factors of numbers, online calculator
Calculate the greatest common factor, GCF:
Multiply all the common prime factors, by the lowest exponents.
gcf (3 × 5 × 7; 24 × 7) = 7
Calculate the greatest common factor, GCF, online calculator
Divide both the numerator and the denominator by their greatest common factor, GCF:
105/112 =
(3 × 5 × 7)/(24 × 7) =
((3 × 5 × 7) ÷ 7) / ((24 × 7) ÷ 7) =
(3 × 5)/24 =
15/16
Step-by-step explanation:
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