use the properties of operations to solve for multiplying and dividing to solve (-2)x (1/5) /(2/3) x(-5/6) / (3/4)
To solve the given expression, we will use the properties of operations.
Step 1: Multiply the numerator and denominator of the first fraction:
(-2) x (1/5) = -2/5
Step 2: Multiply the numerator and denominator of the second fraction:
(2/3) x (-5/6) = (-10)/(18)
Step 3: Multiply the numerator and denominator of the third fraction:
(-10/18) / (3/4) = (-10/18) x (4/3)
Step 4: Simplify the multiplication:
(-10/18) x (4/3) = (-10 x 4) / (18 x 3) = (-40) / (54)
Step 5: Simplify the resulting fraction:
(-40) / (54) = -20/27
Therefore, the solution to the expression (-2) x (1/5) /(2/3) x(-5/6) / (3/4) is -20/27.
To solve the given expression using the properties of multiplication and division, follow these steps:
Step 1: Simplify the multiplication within the expression.
- Multiply the numerator of the first fraction (-2) with the numerator of the second fraction (1/5):
(-2) × (1/5) = -2/5
- Multiply the denominator of the second fraction (2/3) with the denominator of the third fraction (-5/6):
(2/3) × (-5/6) = -10/18 or -5/9
- Multiply the numerator of the resulting fraction (-2/5) with the numerator of the third fraction (3/4):
(-2/5) × (3/4) = -6/20 or -3/10
Step 2: Simplify the division within the expression.
- Perform the division of the resulting fraction (-3/10) by the denominator of the last fraction (3/4):
(-3/10) ÷ (3/4) = (-3/10) × (4/3) = -12/30 or -2/5
So the final answer to the given expression (-2) × (1/5) / (2/3) × (-5/6) / (3/4) is -2/5.
To solve (-2) x (1/5) / (2/3) x (-5/6) / (3/4) using the properties of operations, we can simplify the expression step by step:
Step 1: Start with the multiplication operation:
(-2) x (1/5) = -2/5
Step 2: Continue multiplying:
(-2/5) / (2/3) = (-2/5) x (3/2)
Step 3: Simplify the multiplication:
(-2/5) x (3/2) = (-2 x 3) / (5 x 2) = -6/10
Step 4: Simplify the fraction:
-6/10 = -3/5
Step 5: Proceed to the next division:
(-3/5) / (5/6) = (-3/5) x (6/5)
Step 6: Simplify the multiplication:
(-3/5) x (6/5) = (-3 x 6) / (5 x 5) = -18/25
Step 7: Finally, divide by (3/4):
(-18/25) / (3/4) = (-18/25) x (4/3)
Step 8: Simplify the multiplication:
(-18/25) x (4/3) = (-18 x 4) / (25 x 3) = -72/75
Step 9: Simplify the fraction:
-72/75 = -24/25
Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to -24/25.