Question

Express fractions below having equal denominators: a) 2/5, 7/10, 9/40. b) 17/25, 23/40, 67/120​

Answer 1

Explanation:

a) 5 = 5

10 = 2 * 5

40 = 2 * 2 * 2 *5

Least common denominator = 2*2*2*5=40

Now find equal fractions with denominator 40

`(2)/(5)=(2*8)/(5*8)=(16)/(40)\\\\(7)/(10)=(7*4)/(10*4)=(28)/(40)\\\\(9)/(40)`

Fractions with equal denominators:

`(16)/(40) ; (28)/(40) ; (9)/(40)`

b) 25 = 5* 5

40 = 2 * 2 * 2 * 5

120 = 2 * 2 * 2 * 3 * 5

Least common denominator = 8*25*3=600

`(17)/(25)=(17*24)/(25*24)=(408)/(600)\\\\(23)/(40)=(23*15)/(40*15)=(345)/(600)\\\\(67)/(120)=(67*5)/(120*5)=(335)/(600)\\\\`