− 8/9 + 11/6
To find the sum, we need to find a common denominator for the fractions. The least common multiple of 9 and 6 is 18.
Rewriting the fractions with the common denominator:
-8/9 + 11/6 = (-8/9) * (2/2) + (11/6) * (3/3) = -16/18 + 33/18
Now, we can add the fractions:
= (-16 + 33)/18 = 17/18
Therefore, -8/9 + 11/6 = 17/18.
simplify 17/18
To simplify 17/18, we need to find the greatest common divisor (GCD) of 17 and 18.
The GCD of 17 and 18 is 1.
To simplify the fraction, we divide both the numerator and denominator by the GCD:
17 ÷ 1 / 18 ÷ 1 = 17/18
Therefore, 17/18 is already simplified and cannot be simplified further.
−
16
9
+(−
12
11
)
To simplify the expression (-16/9) + (-12/11), we need a common denominator for the fractions. The least common multiple of 9 and 11 is 99.
Rewriting the fractions with the common denominator:
(-16/9) + (-12/11) = (-16/9) * (11/11) + (-12/11) * (9/9) = (-176/99) + (-108/99)
Now, we can add the fractions:
= (-176 - 108)/99 = -284/99
Therefore, (-16/9) + (-12/11) simplifies to -284/99.
simplify -284/99
To simplify -284/99, we need to find the greatest common divisor (GCD) of 284 and 99.
The GCD of 284 and 99 is 1.
To simplify the fraction, we divide both the numerator and denominator by the GCD:
-284 ÷ 1 / 99 ÷ 1 = -284/99
Therefore, -284/99 is already simplified and cannot be simplified further.
333/100 simplified.
To simplify 333/100, we need to find the greatest common divisor (GCD) of 333 and 100.
The GCD of 333 and 100 is 1.
To simplify the fraction, we divide both the numerator and denominator by the GCD:
333 ÷ 1 / 100 ÷ 1 = 333/100
Therefore, 333/100 is already simplified and cannot be simplified further.
−
17
1
−
17
12