find the simplest form of 561/748
Answers
Answer:
Step-by-step explanation:
Integer numbers prime factorization:
561 = 3 × 11 × 17;
748 = 22 × 11 × 17;Take all the common prime factors, by the lowest exponents.Greatest (highest) common factor (divisor), gcf, gcd:
gcf, gcd (561; 748) = 11 × 17 = 187;Divide fraction's both numerator and denominator by their greatest common factor (divisor), gcf (gcd).561/748 =(3 × 11 × 17)/(22 × 11 × 17) =((3 × 11 × 17) ÷ (11 × 17)) / ((22 × 11 × 17) ÷ (11 × 17)) =3/22 =3/4Rewrite the end result:3 ÷ 4 = 0.75 as a decimal number.Final answer:
:: written in two ways ::As a proper fraction
(numerator smaller than denominator):
561/748 = 3/4As a decimal number:
561/748 = 0.75
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= 3/4 is the simplest form of 561/748. the common factor is 187
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