Question

In a shop, a customer bought $\frac{1}{3}$ of total sugar and $\frac{5}{9}$ of total salt.
Hence, the customer purchased more of .

• A. salt
• B. sugar
• C. cannot be determined

Answer 1

The correct option is A salt

Let's compare the fractions $\frac{1}{3}$ and $\frac{5}{9}.$

We will convert them into equivalent fractions first.

The multiples of 2 and 9 are
3 : 3, 6, 9, 12, 15...
9 : 9, 18, 27, 36, 45,...

The common multiple of 3 and 9 is 9.

Hence, we get,

$\frac{1}{3}=\frac{1\times 3}{3\times 3}=\frac{3}{9}$

When two fractions have the same denominator, the fraction with the greater numerator has the highest value.

$\text{Thus}\frac{5}{9}\text{is greater than}\frac{3}{9}.$

$\therefore \frac{5}{9}>\frac{3}{9}$

Hence, the customer bought more of salt as compared to sugar.