reduce the following to their lowest term
18/27,
85/119,
58/87,
75/120,
39/52
18/27 = 2/3
85/119 = 5/7
Study those examples and this website. Then post your own answers for the other problems.
I'll be glad to check your answers.
http://www.mathsisfun.com/simplifying-fractions.html
factor each number completely, then cancel duplicate factors in top and bottom.
For example,
85=17*5
119 = 17*7
17*5/17*7 = 5/7
do the others in like wise.
To reduce fractions to their lowest terms, we need to find the greatest common divisor (GCD) of both the numerator and the denominator, and then divide both by that GCD.
Let's reduce each of the fractions you provided to their lowest terms:
1. 18/27:
To find the GCD of 18 and 27, we can simply observe that both numbers are divisible by 9. Therefore, the GCD of 18 and 27 is 9.
Dividing both the numerator and denominator by 9, we get:
18 ÷ 9 / 27 ÷ 9 = 2/3
So, the fraction 18/27, when reduced to its lowest term, is 2/3.
2. 85/119:
To find the GCD of 85 and 119, we can use prime factorization. Prime factorize 85: 5 × 17, and prime factorize 119: 7 × 17.
The GCD between 85 and 119 is 17.
Dividing both the numerator and denominator by 17, we get:
85 ÷ 17 / 119 ÷ 17 = 5/7
Thus, the fraction 85/119, when reduced to its lowest term, is 5/7.
3. 58/87:
Similar to the previous example, the GCD of 58 and 87 is 29, which we can find easily.
Dividing both the numerator and denominator by 29, we get:
58 ÷ 29 / 87 ÷ 29 = 2/3
So, the fraction 58/87, when reduced to its lowest term, is 2/3.
4. 75/120:
The GCD of 75 and 120 is 15.
Dividing both the numerator and denominator by 15, we get:
75 ÷ 15 / 120 ÷ 15 = 5/8
Hence, the fraction 75/120, when reduced to its lowest term, is 5/8.
5. 39/52:
The GCD of 39 and 52 is 13.
Dividing both the numerator and denominator by 13, we get:
39 ÷ 13 / 52 ÷ 13 = 3/4
Therefore, the fraction 39/52, when reduced to its lowest term, is 3/4.
In summary, the fractions reduced to their lowest terms are:
18/27 = 2/3
85/119 = 5/7
58/87 = 2/3
75/120 = 5/8
39/52 = 3/4