Question

by using appropriate properties find 5/8*7/4+2/3*-5/8-1

Answer 1

Hey Dear,

◆ Answer -

5/8 × 7/4 + 2/3 × -5/8 - 1 = -31/96

● Explanation -

Let's write down the original equation.

X = 5/8 × 7/4 + 2/3 × -5/8 - 1

X = 5/8 × 7/4 - 2/3 × 5/8 - 1

X = 5/8 (7/4 - 2/3) - 1

X = 5/8 (7×3/4×3 - 2×4/3×4) - 1

X = 5/8 (21/12 - 8/12) - 1

X = 5/8 × (21-8)/12 - 1

X = 5/8 × 13/12 - 1

X = 5×13/8×12 - 1

X = 65/96 - 1

X = 65/96 - 96/96

X = (65-96)/96

X = -31/96

Therefore,

5/8 × 7/4 + 2/3 × -5/8 - 1 = -31/96

Hope this is helpful...