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:
1 3/4
Step-by-step explanation:
First write the equation in mixed fraction form as;
1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒ 7/4 + 4/3 = _ + 16/12
7/4 + 4/3 = _ + 16/12
37/12 = _ + 16/12
37/12 - 16/12 = _
= 21/ 12
= 1 9/12
= 1 3/4
Answer:
10.5 cm
Step-by-step explanation:
Volume = base area × height
798 = (9.5 × 8) × height
height = 798/76
height = 10.5
Answer:
Look in explanation.
Step-by-step explanation:
1. 
is the same as 
because since there is a negative exponent, you would want to flip the reciprocal and change the negative to positive.
The rest are very similar to this.
Answer: (50 + 2) + 20 +4
Step-by-step explanation: you can split each number into two parts that equal that number, like 52 could be 31 +21
