Verified Answer :
Multiply the fraction top and bottom by 25 so the denominator is 100 (how many cents are in a dollar):
\(\frac{75}{100}\)
Since there are 100 cents in a dollar, so the stamp costs:
\(\frac{44}{100}\)
To convert both of these fractions into decimals, write the top number and move the decimal place one space to the left for each zero in the bottom number (100 = 2 zeros, move decimal two places).
Elise had 0.75 cents and spent 0.44 cents on the stamp. She now has 0.33 cents left.
- She has $0.75 before paying for the stamp.
- She pays $0.44 to buy a stamp.
- She has $0.31 or 31 cents after paying for the stamp.
Further explanation
Given:
- Elise has ³/₄ of a dollar.
- She buys a stamp that costs 44 cents.
Question:
- Change both numbers into decimals.
- Tell how much money Elise has after paying for the stamp.
The Process:
Step-1: Prepare \(\frac{3}{4}\) to be decimal
Both the numerator and denominator are multiplied by 25.
\(\boxed{ \ = \frac{3}{4} \times \frac{25}{25} \ }\)
\(\boxed{ \ = \frac{75}{100} \ }\)
\(\boxed{\boxed{ \ 0.75 \ }}\)
Step-2: Find out about Elise's money at first
\(\boxed{ \ = \frac{3}{4} \times \$ 1 \ }\)
\(\boxed{ \ = 0.75 \times \$ 1 \ }\)
Thus before she buys a stamp, she has \(\boxed{\boxed{ \ \$ 0.75 \ }}\)
Step-3: Elise buys a stamp that costs 44 cents
Let us convert 44 cents into dollars.
Recall that \(\boxed{ \ \$ 1 = 100 \ cents \ }\)
\(\boxed{ \ = 44 \ cents \times \frac{\$ 1}{100 \ cents} \ }\)
We crossed out the cent unit.
\(\boxed{ \ = \$ \frac{44}{100} \ }\)
Thus she buys a stamp that costs \(\boxed{\boxed{ \ \$ 0.44 \ }}\)
Step-4: How much money Elise has after paying for the stamp
To obtain Elise's remaining money, the initial amount of money subtracted by the cost of a stamp.
\(\boxed{ \ = \$ 0.75 - \$ 0.44 \ }\)
Thus Elise's money left after paying the stamp is \(\boxed{\boxed{ \ \$ 0.31 \ }}\)
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