steps needed to solve one step mixed number g+9 3/4=15 1/2
g+9 3/4=15 1/2
g + 9.75 = 15.5
g = 15.5 - 9.75
g = 5.75
To solve the equation g + 9 3/4 = 15 1/2, follow these steps:
Step 1: Subtract 9 3/4 from both sides of the equation to isolate the variable g:
g + 9 3/4 - 9 3/4 = 15 1/2 - 9 3/4.
This simplifies to g = 15 1/2 - 9 3/4.
Step 2: Convert both mixed numbers (15 1/2 and 9 3/4) to improper fractions:
15 1/2 = 31/2
9 3/4 = 39/4
Step 3: Subtract the fractions:
g = 31/2 - 39/4.
Step 4: Find a common denominator for the fractions, which in this case is 4, since both fractions already have the denominator 2:
g = (31/2) * (2/2) - 39/4.
g = 31/2 * 2/2 - 39/4.
Step 5: Perform the subtraction:
g = 62/4 - 39/4.
g = (62 - 39)/4.
Step 6: Simplify the numerator:
g = 23/4.
Therefore, the solution to the equation g + 9 3/4 = 15 1/2 is g = 23/4.
To solve the equation g + 9 3/4 = 15 1/2, follow these steps:
Step 1: Subtract 9 3/4 from both sides of the equation.
This will isolate the variable g on one side of the equation.
g + 9 3/4 - 9 3/4 = 15 1/2 - 9 3/4
Simplifying the subtraction on the left side:
g + 0 = 15 1/2 - 9 3/4
g = 15 1/2 - 9 3/4
Step 2: Convert the mixed numbers to improper fractions.
To subtract fractions, it's easier to work with improper fractions rather than mixed numbers.
Convert both 15 1/2 and 9 3/4 to improper fractions.
15 1/2 = 15 + 1/2 = 30/2 + 1/2 = 31/2
9 3/4 = 9 + 3/4 = 36/4 + 3/4 = 39/4
Now we have:
g = 31/2 - 39/4
Step 3: Find a common denominator and subtract the fractions.
To subtract fractions, we need a common denominator. Since the denominators are 2 and 4, the least common multiple (LCM) is 4.
g = (31/2)*(2/2) - (39/4)*(1/1)
g = 62/4 - 39/4
Subtracting the fractions with the common denominator:
g = (62 - 39)/4
g = 23/4
Step 4: Simplify the fraction, if necessary.
The fraction 23/4 is already in its simplest form, so the final result is:
g = 23/4
Therefore, the solution to the equation g + 9 3/4 = 15 1/2 is g = 23/4 or g = 5 3/4.