i need to divide and simplify 11y-44/25 divided by y-4/35y
you have
11(y-4)/25
-----------
(y-4)/35y
That makes
11(y-4)*35y
----------------
(y-4)*25
= 77y/5
1. y + 1.2y +1.2z
y and 1.2y
2. 2 + 17x - 5x + 9
12 + 11
3. 3(5y + 6) - 4
15y + 14
4. Factor 81 - 27p
27(3-p)
7th grade Math. Simplifying Expressions.
To divide and simplify the expression (11y - 44/25) / (y - 4/35y), you can follow these steps:
Step 1: Simplify the expression within the numerator: 11y - 44/25.
To do this, multiply the whole number (11) by the denominator of the fraction (25), and then subtract the result from the numerator.
11y * 25 = 275y
275y - 44 = 275y - 44/25
So, the numerator simplifies to 275y - 44/25.
Step 2: Simplify the expression within the denominator: y - 4/35y.
To do this, find a common denominator for the two terms (y and 4/35y).
The common denominator for y and 4/35y is 35y.
Multiply the term y by 35 to get a denominator of 35y.
y * 35 = 35y
So, the denominator simplifies to 35y - 4.
Step 3: Rewrite the expression as (275y - 44/25) / (35y - 4).
Now that both the numerator and denominator are simplified, we can proceed to divide the fractions.
Step 4: Divide the fractions by multiplying the numerator by the reciprocal of the denominator.
Reciprocal of (35y - 4) is (1 / (35y - 4)).
So, the expression becomes:
(275y - 44/25) * (1 / (35y - 4))
Step 5: Simplify the multiplication of the fractions.
Multiply the numerators and denominators separately:
Numerator: (275y - 44)
Denominator: (25 * (35y - 4)), which equals (875y - 100)
The expression becomes:
(275y - 44) / (875y - 100)
This is the simplified form of the expression (11y - 44/25) / (y - 4/35y).
To divide and simplify the given expression:
1. Start by writing the expression as a fraction, with the numerator divided by the denominator.
(11y - 44/25) / (y - 4/35y)
2. Simplify the numerator and denominator separately.
Numerator:
Apply the distributive property to distribute the division to each term:
(11y / 1) - (44 / 25)
= (11y - 44 / 25)
Denominator:
Apply the distributive property to distribute the division to each term:
(y / 1) - (4 / 35y)
= (y - 4 / 35y)
3. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction.
(11y - 44 / 25) * (35y / y - 4)
4. Multiply the numerators together and denominators together.
(11y * 35y) - (44 / 25) * (y - 4)
Numerator:
multiply the terms together: (11y * 35y) = 385y^2
Denominator:
(44 / 25) * (y - 4)
Apply the distributive property:
(44 / 25) * y - (44 / 25) * 4
Simplify: (44y / 25) - (176 / 25)
Final expression:
385y^2 / [(44y / 25) - (176 / 25)]
5. To simplify further, find a common denominator for the terms in the denominator.
The common denominator is 25.
Rewrite each term:
(44y / 25) = (44y * 25 / 25 * 25) = (1100y / 625)
(176 / 25) = (176 * 25 / 25 * 25) = (4400 / 625)
Final expression:
385y^2 / [(1100y / 625) - (4400 / 625)]
6. Combine the fractions in the denominator:
[(1100y - 4400) / 625]
7. Simplify further if possible. It seems like the numerator can be divided by 100 to simplify.
(1100y - 4400) / 625
Divide numerator by 100:
(11y - 44) / 5
The simplified expression is (11y - 44) / 5.