# Maya ate 0.4 of her 8 inch pie. Nicole ate 0.5 of her 8 inch pie. How much more did Nicole eat than Maya?

Oct 31, 2017

Nicole ate $\frac{5}{4}$ times more times than Mya did.

#### Explanation:

The problem says the Mya ate 0.4 of her 8 inch apple pie. Well 0.4 is equal to $\frac{40}{100} \mathmr{and} \frac{4}{10} \mathmr{and} \frac{2}{5.}$ So this means the Mya ate $\frac{2}{5}$ of her 8 inch apple pie.

Since there is an "of" after 0.4, this means we need to multiply the fraction with 8. Because "of", means to multiply,

$\frac{2}{5} \cdot 8$

Because 8 is equal to 8/1, the problem would become:

$\frac{2}{5} \cdot \frac{8}{1} = \frac{16}{5}$

So for Mya , she ate $\frac{16}{5}$ inches of pie.

Same with Nicole, she ate 0.5 of her 8 inch pie. Meaning she ate $\frac{50}{100} \mathmr{and} \frac{5}{10} \mathmr{and} \frac{1}{2.}$ Just like before, you would do $\frac{1}{2} \cdot \frac{8}{1.}$

$\frac{1}{2} \cdot \frac{8}{1} = \frac{8}{2} = 4$

From here, we need to figure out how many more times Nicole ate pie than Mya. So we would do :

$\frac{4}{1} \div \frac{16}{5}$

Because we are dividing fractions, we need to use the keep, switch, and flip method. To do that, we keep the first number(4), switch the operation to multiplication, and then flip the last number ($\frac{16}{5}$).

So then,

$\frac{4}{1} / \frac{16}{5} = \frac{4}{1} \cdot \frac{5}{16} = \frac{20}{16} = \frac{5}{4}$

So Nicole ate $\frac{5}{4}$ more times than Mya.

Nov 1, 2017

We can also look at this logically to save me a lot of mathematical symbols: comparing Nicole $N$ to Mya $M$ in quantity pie eating, the ratio is $5 : 4$ for $N : M$ which can also be written as $\frac{5}{4}$

#### Explanation:

Both girls started with an $8$ inch pie which were both conveniently sliced into $10$ slices.

Mya $M$ managed to eat $4$ of the pieces and Nicole $N$ ate $5$.

To answer the question, we compare $N : M$; we get $5 : 4$ for a ratio..

Nicole ate more than Mya at a rate of $5$ slices to $4$ slices, or $\frac{5}{4}$.