Math Question: 4 5/7 + 7/8

4 5/7 + 7/8= ??? First step, turn the mixed number into an improper fraction: 4 5/7 = 4*(7/7)+5/7= 28/7+5/7= 33/7 Now we have 33/7+7/8 You can skip LCM if you want (7 and 8 are coprime, as are any two consecutive integers) and just multiply 7x8 to get 56. That's your common denominator. 33/7+7/8= 33(8)/56+7(7)/56 This is a simplification of (33/7)*(56/56)+(7/8)(56/56)= (33/7)*(7*8/56)+(7/8)(7*8/56)= (33*8/56)(7/7)+(7*7/56)(8/8)= (33*8/56)(1)+(7*7/56)(1)= 33(8)/56+7(7)/56 33*8=8*33=8(33)= 8(30+3)= 8(3)(10+1)= 24(10+1)= 240+24= 264 and 7*7=49 so 33(8)/56+7(7)/56= 264/56 + 49/56= 313/56 ~=5.589 which is the same as the original problem (4 5/7 + 7/8) put into a calculator.
Answered On 05/27/2020 16:14