To solve the expression (-2)X(1/5)÷(2/3)x(-5/6)÷(3/4), we can use the following rules:
1. Multiplication and division should be done from left to right.
2. Multiply the numerators and the denominators when multiplying fractions.
3. Divide the numerator by the denominator when dividing fractions.
Let's solve step by step:
(-2)X(1/5)÷(2/3)x(-5/6)÷(3/4)
Step 1: Multiply the first two fractions on the left side:
(-2)(1/5) = -2/5
Step 2: Divide the result from step 1 by the next fraction:
(-2/5) ÷ (2/3) = (-2/5) x (3/2) (taking the reciprocal of the second fraction to convert division into multiplication)
= (-2*3)/(5*2)
= -6/10
Since both the numerator and denominator are divisible by 2, we can simplify this fraction to:
= -3/5
Step 3: Multiply the result from step 2 by the next fraction:
(-3/5) x (-5/6) = (3/5) x (5/6) (taking the reciprocal of the negative fraction to make it positive)
= (3*5)/(5*6)
= 15/30
Since both the numerator and denominator are divisible by 15, we can simplify this fraction to:
= 1/2
Step 4: Divide the result from step 3 by the final fraction:
(1/2) ÷ (3/4) = (1/2) x (4/3) (taking the reciprocal of the second fraction to convert division into multiplication)
= (1*4)/(2*3)
= 4/6
Since both the numerator and denominator are divisible by 2, we can simplify this fraction to:
= 2/3
Therefore, the expression (-2)X(1/5)÷(2/3)x(-5/6)÷(3/4) simplifies to 2/3 as the final answer.
Use the properties of operation and rules for multiplying and dividing to solve
(-2)X(1/5)÷(2/3)x(-5/6)÷(3/4)
2/3
-1/6
-2/3
1/6
1 answer
1 answer