PROBLEM:

How many bags of rice can be made out of 220 kg of rice if each bag should contain 1 2/4 kg of rice?

ANSWER:

If each bag should contain 1 2/4 kg of rice, we need to divide that given from the total amount of rice in the problem, 220 kilograms.

Since they have the same unit of measurement which is kilograms, we can now proceed to converting the mixed number into an improper fraction for easy solving.

MIXED NUMBER TO IMPROPER FRACTION

• Leave the denominator as is and then for the new numerator, multiply the value of the denominator to the whole number and add the answer to the old numerator.

[tex] \sf 1 \frac{2}{4} = \frac{4 \times 1 + 2}{4} = \frac{6}{4} = \frac{3}{2} \\ [/tex]

DIVIDING FRACTION

• Get the reciprocal of the divisor and proceed to multiplication of fractions, multiplying numerator by numerator and denominator by the denominator.

[tex] \sf 220 \div \frac{3}{2} = \frac{220}{1} \times \frac{2}{3} = \frac{440}{3} = 146 \frac{2}{3} \\ [/tex]

Therefore, 146 bags of rice can be made.