Solve the equation. Show all of your work

G + 5 = 7 1/5

1 answer

To solve the equation G + 5 = 7 1/5, we need to isolate the variable G.

First, we can subtract 5 from both sides of the equation to get rid of the 5 on the left side:

G + 5 - 5 = 7 1/5 - 5

Simplifying, we have:

G = 7 1/5 - 5

To subtract fractions, we need a common denominator. The denominator of 5 can be rewritten as 25/5:

G = 7 1/5 - 25/5

Next, we need to find a common denominator for the whole numbers and fractions. The least common multiple of 5 and 1 is 5, so we can rewrite 7 as a fraction with a denominator of 5:

G = 7/1 * 5/5 + 1/5 - 25/5

Multiplying the fractions, we have:

G = 35/5 + 1/5 - 25/5

Now that we have a common denominator, we can combine the fractions:

G = (35 + 1 - 25)/5

Simplifying the numerator, we have:

G = 11/5

Therefore, the solution to the equation G + 5 = 7 1/5 is G = 11/5.