Make the numerator the same.

Change all the numerators to 6.

(lowest common multiple, 6 = 6 x 1 = 3 x 2)

3/10 = 6/20
(Multiply both numerator and denominator by 2)

2/5 = 6/15
(Multiply both numerator and denominator by 3)

3/4 = 6/8
(Multiply both numerator and denominator by 2)

1/2 = 6/12
(Multiply both numerator and denominator by 6)



Among these fractions, 6/20 is the smallest since the denominator, 20, is the largest.

We can see 6/20 as dividing 6 into 20 equal parts. The more equal parts we divide 6 into, the smaller each equal part becomes.

So since we are dividing 6 into the most number of parts here, each equal part is the smallest compared to 6/15, 6/8 and 6/12.


(A fraction's numerator is the dividend and the numerator is the divisor,

e.g 3/10 = 3 ÷ 10)

Option 1

Alternatively, change all the denominators to 20

(lowest common multiple, 20 = 5 x 4 = 2 x 10)

3/10 = 6/20
(Multiply both numerator and denominator by 2)

2/5 = 8/20
(Multiply both numerator and denominator by 4)

3/4 = 15/20
(Multiply both numerator and denominator by 5)

1/2 = 10/20
(Multiply both numerator and denominator by 10)



Among these fractions, 6/20 is the smallest since the numerator is the smallest.

(We can see it as dividing a block into 20 equal parts. 6/20 would mean having only 6 of those equal parts. The fewer equal parts you have, the smaller your fraction of the whole block)



We can see it as dividing6 equal partw out of

Thank you for your help..