Question

What is larger: ⅓ or 4/10?

Answer 1

Answer:
`(1)/(3)` is smaller than
`(4)/(10)`.

Explanation:

• Find the least common denominator or LCM of the two denominators:LCM of 3 and 10 is 30

• For the 1st fraction, since 3 × 10 = 30,

`(1)/(3)=(1x10)/(3x10)=(10)/(30)`

• Likewise, for the 2nd fraction, since 10 × 3 = 30,

`(4)/(10)=(4x3)/(10x3)=(12)/(30)`

• Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

• 
  `(10)/(30)<(12)/(30)or(1)/(3)<(4)/(10)`