Answer:
4
9/8
Step-by-step explanation:
Given the fraction a/b, the reciprocal is expressed as 1/(a/b) = b/a
For 1/4;
1/4
= 1÷1/4
= 1 * 4/1
= 4
Hence the reciprocal is 4
b) 8/9
= 1 ÷ 8/9
= 1 * 9/8
= 9/8
Hence the reciprocal of 8/9 is 9/8
Answer:
37/6
Step-by-step explanation:
Simplify the following:
(12 + 1/3)/2
Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:
((3×12)/3 + 1/3)/2
3×12 = 36:
(36/3 + 1/3)/2
36/3 + 1/3 = (36 + 1)/3:
((36 + 1)/3)/2
36 + 1 = 37:
(37/3)/2
37/3×1/2 = 37/(3×2):
37/(3×2)
3×2 = 6:
Answer: 37/6
6 - x = 2(x - 6)
the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
-3x = -18 ... divide by -3
x = 6 is the answer
