The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The given is:
We need to find What fraction of the whole sandwich she ate
∵ The remaining of the whole sandwich in the refrigerator is [tex]\frac{3}{4}[/tex]
∵ Sierra cuts the remaining part into 3 equal parts
- That mean divide [tex]\frac{3}{4}[/tex] by 3
∴ Each part = [tex]\frac{3}{4}[/tex] ÷ 3
- Replace ÷ by × and reciprocal 3
∴ Each part = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex]
∴ Each part = [tex]\frac{1}{4}[/tex] of the whole sandwich
∵ She ate two of them
∴ She ate = 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{4}[/tex]
- Divide up and down by 2 to simplify it
∴ She ate = [tex]\frac{1}{2}[/tex] of the whole sandwich
The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]
Learn more:
You can learn more about the fractions in brainly.com/question/8520610
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