Question

1/2 × 5/6 - 3/4 × 5/6+2/3​

Answer 1

I hope it is helpful to you

please mark as brainlest

GOOD MORNING ❤️

Answer 2

Answer :

• 11/24

Given :

• 1/2 × 5/6 - 3/4 × 5/6 + 2/3​

To find :

• the value of 1/2 × 5/6 - 3/4 × 5/6 + 2/3​

Solution :

⇒ Let's find the value!!

$\sf \longrightarrow \dfrac{1}{2} \times \dfrac{5}{6} - \dfrac{3}{4} \times \dfrac{5}{6} + \dfrac{2}{3}$

$\sf \longrightarrow \dfrac{1 \times 5}{2 \times 6} - \dfrac{3}{4} \times \dfrac{5}{6} + \dfrac{2}{3}$

$\sf \longrightarrow \dfrac{5}{12} - \dfrac{3}{4} \times \dfrac{5}{6} + \dfrac{2}{3}$

$\sf \longrightarrow \dfrac{5}{12} - \dfrac{15}{24} + \dfrac{2}{3}$

• The least common multiple of 3, 12, and 24 is 24.

$\sf \longrightarrow \dfrac{5 \times 2 }{12 \times 2} - \dfrac{15 \times 1 }{24 \times 1} + \dfrac{2 \times 8}{3 \times 8}$

$\sf \longrightarrow \dfrac{10 }{24} - \dfrac{15}{24} + \dfrac{16}{24}$

$\sf \longrightarrow \dfrac{10 - 15+16 }{24}$

$\sf \longrightarrow \dfrac{-5 +16 }{24}$

$\sf \longrightarrow \dfrac{11}{24}$

• Therefore, the value of 1/2 × 5/6 - 3/4 × 5/6 + 2/3​ is 11/24.