− 3/4 × 2/5
To calculate −3/4 × 2/5, we multiply the numerators and denominators separately:
(-3) × (2) = -6 (the numerator)
(4) × (5) = 20 (the denominator)
So, −3/4 × 2/5 = -6/20.
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
-6 ÷ 2 = -3 (the numerator)
20 ÷ 2 = 10 (the denominator)
Therefore, −3/4 × 2/5 = -3/10.
(1 1/6 )(− 5/7 )
To calculate (1 1/6) × (-5/7), we first need to convert 1 1/6 to an improper fraction.
1 1/6 can be written as (6/6 + 1/6) which equals 7/6.
So, the expression becomes (7/6) × (-5/7).
Now, we can multiply the numerators and denominators:
(7) × (-5) = -35 (the numerator)
(6) × (7) = 42 (the denominator)
Therefore, (1 1/6) × (-5/7) = -35/42.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:
(-35) ÷ 7 = -5 (the numerator)
(42) ÷ 7 = 6 (the denominator)
So, (1 1/6) × (-5/7) = -5/6.
−5 2/3 ⋅(−1 1/2 )
To calculate -5 2/3 × (-1 1/2), we first need to convert the mixed numbers to improper fractions.
-5 2/3 can be written as - (3 × 5 + 2) / 3 = - 17 / 3.
-1 1/2 can be written as - (2 × 1 + 1) / 2 = - 3 / 2.
Now, we can multiply the numerators and denominators:
-17 × -3 = 51 (the numerator)
3 × 2 = 6 (the denominator)
Thus, -5 2/3 × (-1 1/2) = 51/6.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
51 ÷ 3 = 17 (the numerator)
6 ÷ 3 = 2 (the denominator)
Therefore, -5 2/3 × (-1 1/2) = 17/2.
simplify
To simplify a fraction means to rewrite it in its simplest form, where the numerator and denominator have no common factors other than 1.
If you could provide the fraction you want to simplify, I can assist you further.