QuestionWhat fraction of \$1.00 is \$2.80? Express your answer as a fraction.

Studdy Solution

STEP 1

Assumptions1. The whole unit is represented by $1.00. Pedro has$ .80 in his pocket3. We are asked to find the fraction equivalent to the amount of money in Pedro's pocket

STEP 2

To find the fraction equivalent to the amount of money in Pedro's pocket, we need to express the amount of money Pedro has as a fraction of the whole unit. $Fraction\, equivalent = \frac{Amount\, of\, money\, Pedro\, has}{Whole\, unit}$

STEP 3

Now, plug in the given values for the amount of money Pedro has and the whole unit to calculate the fraction equivalent.
$Fraction\, equivalent = \frac{\$2.80}{\$1.00}$

STEP 4

Calculate the fraction equivalent.
$Fraction\, equivalent = \frac{\$2.80}{\$1.00} =2.8$

STEP 5

To express this as a fraction, we need to get rid of the decimal. We can do this by multiplying both the numerator and the denominator by10.
$Fraction\, equivalent = \frac{2.8 \times10}{1 \times10}$

STEP 6

Calculate the fraction equivalent.
$Fraction\, equivalent = \frac{2.8 \times10}{1 \times10} = \frac{28}{10}$

STEP 7

The fraction $\frac{28}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$Fraction\, equivalent = \frac{28 \div2}{10 \div2}$

STEP 8

Calculate the simplified fraction equivalent.
$Fraction\, equivalent = \frac{28 \div2}{10 \div2} = \frac{14}{5}$ So, the fraction equivalent to the amount of money in Pedro's pocket is $\frac{14}{5}$ .

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