Solve and simplify: 2/3 x 3/5 x 5/10 x 6/8
2/3 x 3/5 x 5/10 x 6/8 = (2x3x5x6)/(3x5x10x8) = (2x6)/(10x8) = 12/80 = 3/20
If your expression mean:
2 / 3 ∙ 3 / 5 ∙ 5 / 10 ∙ 6 / 8
then:
2 / 3 ∙ 3 / 5 ∙ 5 / 10 ∙ 6 / 8 =
2 ∙ 3 ∙ 5 ∙ 6 / 3 ∙ 5 ∙ 10 ∙ 8 =
180 / 1200 =
60 ∙ 3 / 60 ∙ 20 =
3 / 20
To solve and simplify the expression 2/3 × 3/5 × 5/10 × 6/8, we can multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom) separately, and then simplify the resulting fraction.
Let's start by multiplying the numerators together: 2 × 3 × 5 × 6 = 180.
Next, let's multiply the denominators together: 3 × 5 × 10 × 8 = 1200.
Now, we have the fraction 180/1200. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor.
The greatest common divisor (GCD) of 180 and 1200 is 60. Therefore, we divide both the numerator and denominator by 60:
180 ÷ 60 = 3
1200 ÷ 60 = 20
So, the simplified fraction is 3/20.
Therefore, the solution to the expression 2/3 × 3/5 × 5/10 × 6/8 is 3/20.