How many packets of ¹/₁₆ kg sugar can be made from 3 ¹/₄ kg of sugar?

The correct answer is Option 1: 52.

To find the total number of sugar packets that can be made, we need to divide the total mass of sugar available by the mass of sugar in each packet.

First, let's identify the given values:

Total mass of sugar = 3 ¹/₄ kg

Mass of sugar per packet = ¹/₁₆ kg

Next, convert the mixed fraction 3 ¹/₄ into an improper fraction:

3 ¹/₄ = $\frac{(3\times 4)+1}{4}$ = $\frac{13}{4}$ kg

Now, divide the total mass of sugar by the mass of one packet:

Number of packets = $\frac{13}{4}$ ÷ $\frac{1}{16}$

To divide fractions, multiply the first fraction by the reciprocal of the second fraction:

Number of packets = $\frac{13}{4}$ × $\frac{16}{1}$

Simplify the expression by canceling out common factors (16 ÷ 4 = 4):

Number of packets = 13 × 4 = 52

Thus, 52 packets of ¹/₁₆ kg sugar can be made from 3 ¹/₄ kg of sugar.