Question

Miguel is making trial mix. he uses 5 1/3 ounces of nuts and 2 3/4 ounces of rasins
which of these is a reasonble estimate for how many more ounces of nuts than raseins miguel uses

Answer 1

Answer: A reasonable estimate for how many more ounces of nuts than raisins Miguel uses is approximately $\(2 \frac{7}{12}\)$ ounces.

Step-by-step explanation:

To find out how many more ounces of nuts Miguel uses compared to raisins, we subtract the weight of raisins from the weight of nuts.

Given:

- Nuts: 5 1/3 ounces

- Raisins: 2 3/4 ounces

First, let's convert the mixed numbers to improper fractions:

- Nuts: $\(5 \frac{1}{3} = \frac{16}{3}\)$ ounces

- Raisins: $\(2 \frac{3}{4} = \frac{11}{4}\)$ ounces

Now, we subtract the weight of raisins from the weight of nuts:

$\[\frac{16}{3} - \frac{11}{4}\]$

To subtract fractions, we need to find a common denominator, which is 12 in this case:

$\[\frac{16}{3} - \frac{11}{4} = \frac{16 \times 4}{3 \times 4} - \frac{11 \times 3}{4 \times 3}\]$

$\[= \frac{64}{12} - \frac{33}{12}\]$

$\[= \frac{31}{12}\]$

So, Miguel uses $\( \frac{31}{12} \)$ more ounces of nuts than raisins.

Now, let's convert this improper fraction back to a mixed number:

$\[31 \div 12 = 2 \frac{7}{12}\]$

So, a reasonable estimate for how many more ounces of nuts than raisins Miguel uses is approximately $\(2 \frac{7}{12}\)$ ounces.