Question

Matthew has two kind of rice brown rice 8 7/8 and white rice 6 3/4 How much more brown rice than white rice does Matthew have?

Answer 1

Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice

Solution:

Given that Matthew has two kind of rice ; brown rice and white rice

From given question,

$\text{Brown rice } = 8\frac{7}{8}\\\\\text{White rice } = 6\frac{3}{4}$

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator

Add that to the numerator

Then write the result on top of the denominator

$\text{Brown rice } = 8\frac{7}{8} = \frac{8 \times 8 + 7}{8} = \frac{71}{8}$

$\text{White rice } = 6\frac{3}{4} = \frac{4 \times 6 + 3}{4} = \frac{27}{4}$

How much more brown rice than white rice does Matthew have?

So we need to find the difference between brown rice and white rice

Difference = brown rice - white rice

$difference = \frac{71}{8} - \frac{27}{4}$

Make the denominators same for easier calculations

$difference = \frac{71}{8} - \frac{27 \times 2}{4 \times 2}\\\\difference = \frac{71}{8} - \frac{54}{8}\\\\difference = \frac{71 - 54}{8} = \frac{17}{8}$

Converting again to mixed fractions we get,

$difference = \frac{17}{8} = 2\frac{1}{8}$

Thus Mathew has $\frac{17}{8} \text{ or } 2\frac{1}{8}$ more brown rice than white rice