Question

Help for 100 points if correct

Answer 1

• Total=2 1/4
• Used=3/8

Saved:-

`\\ \sf\Rrightarrow 2(1)/(4)-(3)/(8)`

`\\ \sf\Rrightarrow (9)/(4)-(3)/(8)`

`\\ \sf\Rrightarrow (18-3)/(8)`

`\\ \sf\Rrightarrow (15)/(8)`

`\\ \sf\Rrightarrow 1(7)/(8)`

Answer 2

`\textsf{D)} \quad 1 (7)/(8)`

Explanation:

Subtract the used volume of punch from the starting volume of punch.

Convert the mixed number to an improper fraction:

`\begin{aligned} \implies 2(1)/(4)-(3)/(8) & = (2 * 4+1)/(4)-(3)/(8)\\\\ & = (9)/(4)-(3)/(8)\end{aligned}`

Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:

`\implies (9 * 2)/(4 * 2)-(3)/(8) = (18)/(8)-(3)/(8)`

`\textsf{Apply the fraction rule} \quad (a)/(c)-(b)/(c)=(a-b)/(c):`

`\begin{aligned} \implies (18)/(8)-(3)/(8) & = (18-3)/(8)\\\\ & = (15)/(8)\end{aligned}`

Convert back into a mixed number:

`\begin{aligned}\implies (15)/(8) & = (8+7)/(8)\\\\ & = (8)/(8)+(7)/(8)\\\\ & = 1(7)/(8)\end{aligned}`