Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
Answer:
16/5 teaspoons
Step-by-step explanation:
1/4 cups of flour uses 4/15 teaspoon so 4/15 x 4 is 16/5
Answer:
<h3>
A = ²⁵/₄x² + ⁷⁵/₂x + 50</h3>
Step-by-step explanation:
L = ⁵/₂x + 10
W = ⁵/₂x + 5
A = L•W
A = (⁵/₂x + 10)(⁵/₂x + 5)
A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5
A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50
A = ²⁵/₄x² + ⁷⁵/₂x + 50
Or if yoy mean:
L = 5/(2x) + 10
W = 5/(2x) + 5
A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50
Answer:
ask your teacher for help
Step-by-step explanation:
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
