simplify the following 3/5×(7/10+2/5)/ 5 2/3+1 3/8-2 1/4​

Answer:(-2579)/3400Step-by-step explanation:Simplify the following: 3/5 (7/10 + 2/5)/(5 + 2/3) + 1 + 3/8 - (2 + 1/4) (3 (7/10 + 2/5)/(5 + 2/3))/5 = (3 (7/10 + 2/5))/(5 (5 + 2/3)): (3 (7/10 + 2/5))/(5 (2/3 + 5)) + 1 + 3/8 - (2 + 1/4) Put 5 + 2/3 over the common denominator 3. 5 + 2/3 = (3×5)/3 + 2/3: (3 (7/10 + 2/5))/(5 (3×5)/3 + 2/3) + 1 + 3/8 - (2 + 1/4) 3×5 = 15: (3 (7/10 + 2/5))/(5 (15/3 + 2/3)) + 1 + 3/8 - (2 + 1/4) 15/3 + 2/3 = (15 + 2)/3: (3 (7/10 + 2/5))/(5 (15 + 2)/3) + 1 + 3/8 - (2 + 1/4) 15 + 2 = 17: (3 (7/10 + 2/5))/(5×17/3) + 1 + 3/8 - (2 + 1/4) Put 7/10 + 2/5 over the common denominator 10. 7/10 + 2/5 = 7/10 + (2×2)/10: (3 7/10 + (2×2)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4) 2×2 = 4: (3 (7/10 + 4/10))/((5×17)/3) + 1 + 3/8 - (2 + 1/4) 7/10 + 4/10 = (7 + 4)/10: (3 (7 + 4)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4) 7 + 4 = 11: (3×11/10)/(5×17/3) + 1 + 3/8 - (2 + 1/4) 5×17/3 = (5×17)/3: (3×11/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4) 3×11/10 = (3×11)/10: ((3×11)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4) Multiply the numerator by the reciprocal of the denominator, ((3×11)/10)/((5×17)/3) = (3×11)/10×3/(5×17): (3×11×3)/(5×17×10) + 1 + 3/8 - (2 + 1/4) 5×17 = 85: (3×11×3)/(85×10) + 1 + 3/8 - (2 + 1/4) 85×10 = 850: (3×11×3)/850 + 1 + 3/8 - (2 + 1/4) 3×11 = 33: (33×3)/850 + 1 + 3/8 - (2 + 1/4) 33×3 = 99: 99/850 + 1 + 3/8 - (2 + 1/4) Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4: 99/850 + 1 + 3/8 - (4×2)/4 + 1/4 4×2 = 8: 99/850 + 1 + 3/8 - (8/4 + 1/4) 8/4 + 1/4 = (8 + 1)/4: 99/850 + 1 + 3/8 - (8 + 1)/4 8 + 1 = 9: 99/850 + 1 + 3/8 - 9/4 Put 99/850 + 1 + 3/8 - 9/4 over the common denominator 3400. 99/850 + 1 + 3/8 - 9/4 = (4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400: (4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400 4×99 = 396: 396/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400 425×3 = 1275: 396/3400 + 3400/3400 + 1275/3400 + (850 (-9))/3400 850 (-9) = -7650: 396/3400 + 3400/3400 + 1275/3400 + (-7650)/3400 396/3400 + 3400/3400 + 1275/3400 - 7650/3400 = (396 + 3400 + 1275 - 7650)/3400: (396 + 3400 + 1275 - 7650)/3400 | 1 | 1 | 1 |   | 3 | 4 | 0 | 0 | 1 | 2 | 7 | 5 + | | 3 | 9 | 6 | 5 | 0 | 7 | 1: (5071 - 7650)/3400 5071 - 7650 = -(7650 - 5071): (-(7650 - 5071))/3400 | | | 14 |   | | 5 | 4 | 10 | 7 | 6 | 5 | 0 - | 5 | 0 | 7 | 1 | 2 | 5 | 7 | 9: Answer: (-2579)/3400