7+(7)/(8)+5,(3)/(4)*3
Convert the mixed number to an improper fraction by adding the whole number portion to the fractional portion.
7+(7)/(8)+5+(3)/(4)*3
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 4. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
7+(7)/(8)+5*(4)/(4)+(3)/(4)*3
Multiply 5 by 4 to get 20.
7+(7)/(8)+(20)/(4)+(3)/(4)*3
Combine the numerators of all fractions that have common denominators.
7+(7)/(8)+(20+3)/(4)*3
Add 3 to 20 to get 23.
7+(7)/(8)+(23)/(4)*3
Multiply 23 by 3 to get 69.
7+(7)/(8)+(69)/(4)
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 8. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
7*(8)/(8)+(69)/(4)*(2)/(2)+(7)/(8)
Multiply 7 by 8 to get 56.
(56)/(8)+(69)/(4)*(2)/(2)+(7)/(8)
Multiply 69 by 2 to get 138.
(56)/(8)+(138)/(2*4)+(7)/(8)
Multiply 4 by 2 to get 8.
(56)/(8)+(138)/(8)+(7)/(8)
Combine the numerators of all fractions that have common denominators.
(56+138+7)/(8)
Add 138 to 56 to get 194.
(194+7)/(8)
Add 7 to 194 to get 201.
(201)/(8)