reduce the following fraction to the lowest terms a 40 of 36
Answers
Answer:
To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.
Calculate the greatest (highest) common factor (divisor), gcf (gcd).
Integer numbers prime factorization:
36 = 22 × 32;
40 = 23 × 5;
Take all the common prime factors, by the lowest exponents.
gcf, gcd (36; 40) = 22 = 4;
Calculate the greatest (highest) common factor (divisor), gcf (gcd)
Divide both numerator and denominator by their greatest common factor.
36/40 =
(22 × 32)/(23 × 5) =
((22 × 32) ÷ 22) / ((23 × 5) ÷ 22) =
32/(2 × 5) =
9/10
Rewrite the end result:
As a decimal number:
9/10 =
9 ÷ 10 =
0.9
As a percentage:
0.9 =
0.9 × 100/100 =
90/100 =
90%
Final answer:
:: written in three ways ::
As a proper fraction
(numerator smaller than denominator):
36/40 = 9/10
As a decimal number:
36/40 = 0.9
As a percentage:
36/40 = 90%
Answer:
40/36=10/9 will lowest term