Question

P – 3 1/5 = 7 1/3

A. p = 107/15
B. p = 108/15
C. p = 118/15

Answer 1

`p-3(1)/(5)=7(1)/(3)\qquad\text{add}\ 3(1)/(5)\ \text{to both sides}\\\\p=7(1)/(3)+3(1)/(5)\qquad\text{find the common denominator}\to\ \text{it's 15}\\\\p=7(1\cdot5)/(3\cdot5)+3(1\cdot3)/(5\cdot3)\\\\p=7(5)/(15)+3(3)/(15)\\\\p=(7+3)+\left((5)/(15)+(3)/(15)\right)\\\\p=10+(5+3)/(15)\\\\\boxed{p=10(8)/(15)}\to\boxed{B.}`

Answer 2

B. p = 10 8/15

Explanation:

p – 3 1/5 = 7 1/3

Add 3 1/5 to each side

p – 3 1/5 + 3 1/5 = 7 1/3 + 3 1/5

p = 7 1/3 + 3 1/5

Get a common denominator of 15

p = 10 + (1/3*5/5 + 1/5*3/3)

p = 10 + (5/15 + 3/15)

p = 10 + 8/15

p = 10 8/15