# How many 3 1/2 sacks of rice are there in 2911 1/4 sacks of rice?

1
by RainierV12

2015-09-22T17:33:59+08:00
2991 1/4 divided by 3 1/2 is the formula.

This is a divsion problem, so we need to flip the second fraction. Then we need to multiply the numerator and denominator of the fractions to get the quotient.

Whole × Denominator + Numerator = New Numerator
2991 × 4 + 1 = 11965
3 × 2 + 1 = 7

Re-writing the first fraction, we get 11965/4.
Re-writing the first fraction, we get 7/2.

When we divide fractions, we have to switch the numerator and denominator of the second fraction:

Now our second fraction is 2/7.

Multiply the numerators together, and multiply the denominators together:
11965/4 x 2/7 = 23930/28

The fraction 23930/28 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of 23930: 1, 2,
Factors of 28: 1, 2,

Numerator: 23930 ÷ 2 = 11965
Denominator: 28 ÷ 2 = 14

11965/14

11965/14
is improper because the numerator is greater than or equal to the denominator. We need to turn it into a mixed number. Divide the denominator into the numerator.

The resulting fraction is:
854 9/14