Question

5 1/2 - (-2 3/8 ) - 4 1/8

Answer 1

`\sf3(3)/(4)`

Explanation:

Fraction addition and subtraction:

• First convert mixed fractions to improper fractions

`\sf 5(1)/(2)-(-2(3)/(8))-4(1)/(8)= (11)/(2)-(-(19)/(8))-(33)/(8)\\`

`\sf = (11)/(2)+(19)/(8)-(33)/(8)`

• Find the LCD. LCD of 2 , 8 is 8. Find equivalent fractions with denominator 8.

`\sf= (11*4)/(2*4)+(19)/(8)-(33)/(8)\\\\ =(44)/(8)+(19)/(8)-(33)/(8)\\\\=(44+19-33)/(8)\\\\=(63-33)/(8)\\\\=(30)/(8)\\\\=(15)/(4)\\\\=3(3)/(4)`