Answer:
9
Step-by-step explanation:
Simplify the following:
-(3 + 1/3) (-(2 + 7/10))
Hint: | Multiply all instances of -1 in -(3 + 1/3) (-(2 + 7/10)).
(-1)^2 = 1:
(3 + 1/3) (2 + 7/10)
Hint: | Put the fractions in 2 + 7/10 over a common denominator.
Put 2 + 7/10 over the common denominator 10. 2 + 7/10 = (10×2)/10 + 7/10:
(3 + 1/3) (10×2)/10 + 7/10
Hint: | Multiply 10 and 2 together.
10×2 = 20:
(3 + 1/3) (20/10 + 7/10)
Hint: | Add the fractions over a common denominator to a single fraction.
20/10 + 7/10 = (20 + 7)/10:
(3 + 1/3) (20 + 7)/10
Hint: | Evaluate 20 + 7.
20 + 7 = 27:
(3 + 1/3)×27/10
Hint: | Put the fractions in 3 + 1/3 over a common denominator.
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
27/10 (3×3)/3 + 1/3
Hint: | Multiply 3 and 3 together.
3×3 = 9:
((9/3 + 1/3)×27)/10
Hint: | Add the fractions over a common denominator to a single fraction.
9/3 + 1/3 = (9 + 1)/3:
27/10 (9 + 1)/3
Hint: | Evaluate 9 + 1.
9 + 1 = 10:
10/3×27/10
Hint: | Express 10/3×27/10 as a single fraction.
10/3×27/10 = (10×27)/(3×10):
(10×27)/(3×10)
Hint: | Cancel common terms in the numerator and denominator of (10×27)/(3×10).
(10×27)/(3×10) = 10/10×27/3 = 27/3:
27/3
Hint: | Reduce 27/3 to lowest terms. Start by finding the GCD of 27 and 3.
The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:
Answer: 9
