Question

What is larger: ⅓ or 4/10?

Answer 1

Answer:$\frac{1}{3}$ is smaller than $\frac{4}{10}$.

Step-by-step 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,

        $\frac{1}{3}=\frac{1x10}{3x10}=\frac{10}{30}$

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

        $\frac{4}{10}=\frac{4x3}{10x3}=\frac{12}{30}$

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

• $\frac{10}{30}<\frac{12}{30}or\frac{1}{3}<\frac{4}{10}$