Question

What is (2/3 x 3/5) - (3/4 x 1/6)

Answer 1

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

Answer 2

`\boxed{ (11)/(40) }`

Explanation:

`( (2)/(3) * (3)/(5) ) - ( (3)/(4) * (1)/(6) )`

Reduce the numbers with Greatest common factor 3

⇒
`\mathsf{(2 * (1)/(5) ) - ( (1)/(4) * (1)/(2) )}`

Calculate the product

⇒
`\mathsf{( (2)/(5) )- ( (1)/(4) * (1)/(2)) }`

Subtract the fractions

⇒
`\mathsf{ (2 * 8 - 1 * 5)/(40) }`

⇒
`\mathsf{ (16 - 5)/(40) }`

⇒
`\mathsf{ (11)/(40) }`

Hope I helped!

Best regards!