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Solve: How many grams of the 150 g of food did I eat?

Example: I ate [tex]\frac{1}{5}[/tex] of my 150 grams of food. How many grams did I eat?

1. [tex]= \frac{1}{5} \text{ of 150 grams}[/tex]
2. [tex]= \frac{1}{5} \times 150 \text{ grams}[/tex]
3. [tex]= \frac{1}{5} \times \frac{150}{1} \text{ grams}[/tex]
4. [tex]= \frac{150}{5} \text{ grams}[/tex]
5. [tex]= 30 \text{ grams}[/tex]
6. Therefore, I ate 30 grams.

Options:
a. [tex]\frac{1}{8}[/tex]
b. [tex]\frac{1}{2}[/tex] □
c. [tex]\frac{1}{4}[/tex] □
d. [tex]\frac{1}{6}[/tex] □
e. [tex]\frac{1}{10}[/tex] □
f. [tex]\frac{1}{20}[/tex] □

Answer :

Sure! Let's solve the problem step by step to find out how many grams of food you ate for each fraction of the 150 grams of food.

1. Fraction a: [tex]\(\frac{1}{8}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{8}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{8} \times 150 = 18.75 \text{ grams}
\][/tex]

2. Fraction b: [tex]\(\frac{1}{2}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{2}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{2} \times 150 = 75.0 \text{ grams}
\][/tex]

3. Fraction c: [tex]\(\frac{1}{4}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{4}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{4} \times 150 = 37.5 \text{ grams}
\][/tex]

4. Fraction d: [tex]\(\frac{1}{6}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{6}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{6} \times 150 = 25.0 \text{ grams}
\][/tex]

5. Fraction e: [tex]\(\frac{1}{10}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{10}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{10} \times 150 = 15.0 \text{ grams}
\][/tex]

6. Fraction f: [tex]\(\frac{1}{20}\)[/tex] of 150 grams

- To find [tex]\(\frac{1}{20}\)[/tex] of 150 grams, you multiply:
[tex]\[
\frac{1}{20} \times 150 = 7.5 \text{ grams}
\][/tex]

So, the grams eaten for each fraction are as follows:
- For [tex]\(\frac{1}{8}\)[/tex], you ate 18.75 grams.
- For [tex]\(\frac{1}{2}\)[/tex], you ate 75.0 grams.
- For [tex]\(\frac{1}{4}\)[/tex], you ate 37.5 grams.
- For [tex]\(\frac{1}{6}\)[/tex], you ate 25.0 grams.
- For [tex]\(\frac{1}{10}\)[/tex], you ate 15.0 grams.
- For [tex]\(\frac{1}{20}\)[/tex], you ate 7.5 grams.

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