4 2/5 - 2 1/2 = P + 3/10
Rewrite each mixed number as a fraction with a common denominator. Then combine constant terms.
44/10 - 25/10 = 3/10 + P
P = 16/10 = 1 3/5
To solve this equation, we need to find the value of P. Let's break down each expression step by step.
First, let's convert the mixed numbers into improper fractions:
4 2/5 becomes (4 * 5 + 2) / 5 = 22/5
2 1/2 becomes (2 * 2 + 1) / 2 = 5/2
Now that we have converted the mixed numbers, we can perform the subtraction:
22/5 - 5/2 = P + 3/10
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 5 and 2 is 10, so we'll use that as our common denominator:
(22/5) * (2/2) = 44/10
(5/2) * (5/5) = 25/10
Now we have:
44/10 - 25/10 = P + 3/10
Subtracting the fractions, we get:
(44 - 25) / 10 = P + 3/10
19/10 = P + 3/10
To solve for P, we need to isolate it on one side of the equation. Since P is already on the right side, we can move the 3/10 to the left side:
19/10 - 3/10 = P
Subtracting the fractions:
16/10 = P
Simplifying the fraction:
8/5 = P
Therefore, the solution to the equation 4 2/5 - 2 1/2 = P + 3/10 is P = 8/5.