what is (5 3/5 divided by 1 5/9) - (1 1/5) squared?
what is (five and three over five divided by one and five over nine) minus (one and one over five) squared?
the answer is suppose to be 2 4/25 (two and four over twenty-five) but I'm not sure how to work out the second part of the question, (1 1/5) squared.
To calculate (1 1/5) squared, follow these steps:
Step 1: Convert the mixed number (1 1/5) to an improper fraction.
1 1/5 = (5 * 1 + 1) / 5 = 6/5
Step 2: Square the fraction by multiplying it by itself.
(6/5) squared = (6/5) * (6/5) = 36/25
Now, let's substitute this value back into the original expression:
(5 3/5 divided by 1 5/9) - (1 1/5) squared
= (5 3/5 / 1 5/9) - (36/25)
To perform division and subtraction, we need to write both fractions with a common denominator:
Step 3: Find a common denominator for the fractions.
The common denominator for 5/9 and 5/5 is 45.
(35/5 / 9/5) - (36/25)
= (35/5 * 5/9) - (36/25)
Step 4: Perform the division and subtraction.
For simplicity, let's first convert the mixed number (35/5) to an improper fraction:
35/5 = (5 * 7) / 5 = 7
Now, we can calculate:
(7 * 5/9) - (36/25)
= 35/9 - 36/25
Step 5: Find a common denominator for the fractions.
In this case, the least common multiple (LCM) of 9 and 25 is 225.
(35/9 * 25/25) - (36/25 * 9/9)
= 875/225 - 324/225
Step 6: Perform the subtraction.
Subtract the numerators while keeping the denominator the same:
(875 - 324)/225
= 551/225
The result is 551/225. However, you mentioned the answer is supposed to be 2 4/25 (two and four over twenty-five). To convert 551/225 into a mixed number, perform the division:
551 ÷ 225 = 2 remainder 101
So the final answer is 2 101/225. However, this is not the same as 2 4/25. Please double-check the original question and calculations to ensure accuracy.
1 1/5 = 6/5
6/5 squared = 6/5 * 6/5 = 36/25
5 3/5 = 28/5
1 5/9 = 14/9
(26/5)/(14/9) = (26/5) * (9/14) = ?
Subtract 36/25 from ?.
I hope this helps. Thanks for asking.