[-2/3x5/6]+[-2/3*7/2]
Answers
Answer:
[-2/3x5/6] + [-2/3 * 7/2] = -26/
9
= -2 8/
9
≅ -2.8888889
Step-by-step explanation:
Multiple: -2/
3
* 5/
6
= -2 · 5/
3 · 6
= -10/
18
= -5 · 2/
9 · 2
= -5/
9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-10, 18) = 2. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - minus two thirds multiplied by five sixths = minus five ninths.
Multiple: -2/
3
* 7/
2
= -2 · 7/
3 · 2
= -14/
6
= -7 · 2/
3 · 2
= -7/
3
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-14, 6) = 2. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - minus two thirds multiplied by seven halfs = minus seven thirds.
Add: the result of step No. 1 + the result of step No. 2 = -5/
9
+ (-7/
3
) = -5/
9
+ (-7) · 3/
3 · 3
= -5/
9
+ (-21/
9
) = -5 + (-21)/
9
= -26/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - minus five ninths plus minus seven thirds = minus twenty-six ninths.
Answer:
-22/3
Step-by-step explanation:
-5/9+(-7/3) =-5/9-7/3 =-45-21/9 = -66/9 =-22/3