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Math

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PROBLEM

1.2 is how many percent of 34\frac{3}{4} ?

STEP 1

Assumptions
1. We are given a number, 1.2.
2. We need to find out what percentage 1.2 is of another number, which is 34\frac{3}{4}.
3. The percentage is calculated using the formula:
$$ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\] where "Part" is 1.2 and "Whole" is 34\frac{3}{4}.

STEP 2

First, express 34\frac{3}{4} as a decimal to make the calculation easier.
34=0.75\frac{3}{4} = 0.75

STEP 3

Now, use the percentage formula to find out what percentage 1.2 is of 0.75.
Percentage=(1.20.75)×100\text{Percentage} = \left(\frac{1.2}{0.75}\right) \times 100

STEP 4

Calculate the division 1.20.75\frac{1.2}{0.75}.
1.20.75=1.6\frac{1.2}{0.75} = 1.6

SOLUTION

Multiply the result by 100 to convert it into a percentage.
1.6×100=1601.6 \times 100 = 160 Therefore, 1.2 is 160% of 34\frac{3}{4}.

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