trying to solve fraction problem
2/3+3m/5=31/15 been too long....
put all over 15:
10/15 + 9m/15 = 31/15
10 + 9m = 31
9m = 21
m = 7/3
To solve the fraction problem, we need to get rid of the denominators and find a common denominator for all the fractions involved. Let's go step by step:
Step 1: Find the common denominator:
The denominators in the equation are 3, 5, and 15. The least common multiple (LCM) of these three numbers is 15. Therefore, we'll use 15 as the common denominator for all fractions.
Step 2: Adjust the fractions:
Multiply both the numerator and denominator of the first fraction, 2/3, by 5 to make the denominator 15:
2/3 × 5/5 = 10/15
Multiply both the numerator and denominator of the second fraction, 3m/5, by 3 to make the denominator 15:
3m/5 × 3/3 = 9m/15
The equation now becomes:
10/15 + 9m/15 = 31/15
Step 3: Combine like terms:
Add the numerators of the fractions on the left side of the equation:
(10 + 9m)/15 = 31/15
Step 4: Isolate the variable:
To isolate the variable, we need to get rid of the denominator. Since both sides have the same denominator, we can equate the numerators:
10 + 9m = 31
Step 5: Solve for m:
Subtract 10 from both sides of the equation:
9m = 31 - 10
9m = 21
Divide both sides by 9:
m = 21/9
Simplifying the fraction:
m = 7/3
Therefore, the solution to the equation is m = 7/3.
To solve the fraction problem:
2/3 + 3m/5 = 31/15
We need to isolate the variable "m" on one side of the equation. Here's how you can do it step by step:
Step 1: Let's get rid of the denominators by finding the least common multiple (LCM) of 3 and 5, which is 15.
Multiply both sides of the equation by 15 to clear the denominators:
15 * (2/3) + 15 * (3m/5) = 15 * (31/15)
Simplifying, we get:
10 + 9m = 31
Step 2: Now, let's move the constant term (10) to the other side of the equation by subtracting it from both sides:
10 + 9m - 10 = 31 - 10
Simplifying, we get:
9m = 21
Step 3: Finally, we can solve for "m" by dividing both sides of the equation by the coefficient of "m," which is 9:
(9m)/9 = 21/9
Simplifying, we get:
m = 7/3
Therefore, the solution to the equation is m = 7/3.