Ammaar put 4/7 of the money he earned raking leaves in the bank. He spent 1/3 of the money on a book.
Create an expression with common denominators that can be used to find the difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book
Answers & Comments
Step-by-step explanation:
The LCD of 7 and 3 is 21.
4/7 = 12/21
1/3 = 7/21
4/7 - 1/3 = 12/21 - 7/21 = 5/21
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Answer:
The difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book is [tex] \frac{5}{21} [/tex]
Step-by-step explanation:
Amaar put [tex] \frac{4}{7} [/tex]of the money in the bank.
and he spent [tex] \frac{1}{3} [/tex]of the money on a book.
Now we want to find difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book.
Required difference is [tex] \frac{4}{7} - \frac{1}{3} [/tex]
By fraction's subtraction rule,we can solve this.
[tex] = \frac{4 \times 3 - 1 \times 7}{21} \\ = \frac{12 - 7}{21} \\ = \frac{5}{21} [/tex]
Required difference is [tex] \frac{5}{21} [/tex]
This is a problem of Algebra.
Some important Algebra formula,
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab − b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³
a³ + b³ = (a + b)³ − 3ab(a + b)
a³ - b³ = (a -b)³ + 3ab(a - b)
a² − b² = (a + b)(a − b)
a² + b² = (a + b)² − 2ab
a² + b² = (a − b)² + 2ab
a³ − b³ = (a − b)(a² + ab + b²)
a³ + b³ = (a + b)(a² − ab + b²)
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