How many packets of 116 kg sugar can be made from 314 kg of sugar?

Correct Answer: 52

Step-by-step explanation:

To find out how many small packets of sugar can be made from a total quantity of sugar, we need to divide the total weight of sugar by the weight of one packet.

Step 1: Identify the given values.
Total weight of sugar = 314 kg
Weight of each packet = 116 kg

Step 2: Convert the mixed fraction into an improper fraction.

314=3×4+14=134

So, the total weight of sugar is 134 kg.

Step 3: Set up the division.
Number of packets = Total weight ÷ Weight of one packet

Number of packets=134÷116

Step 4: Multiply by the reciprocal of the divisor.
To divide by a fraction, we multiply by its reciprocal (flip the second fraction):

Number of packets=134×161

Step 5: Simplify the expression.
Divide 16 in the numerator by 4 in the denominator:

Number of packets=13×4=52

Therefore, 52 packets of sugar can be made.