To solve the equation w - 5 2/5 = 3 1/4, we first need to convert the mixed fractions into improper fractions.
The mixed fractions 5 2/5 and 3 1/4 can be written as improper fractions as follows:
5 2/5 = (5 * 5 + 2) / 5 = 27/5
3 1/4 = (3 * 4 + 1) / 4 = 13/4
Now, we can rewrite the equation as: w - 27/5 = 13/4
To eliminate the fractions, we can multiply both sides of the equation by the LCD (Least Common Denominator) which is 20.
20 * (w - 27/5) = 20 * (13/4)
20w - 540/5 = 260/4
20w - 108 = 65
Next, we can simplify the equation by adding 108 to both sides:
20w - 108 + 108 = 65 + 108
20w = 173
Now, we can solve for w by dividing both sides of the equation by 20:
w = 173/20
We can simplify this fraction by finding the greatest common divisor (GCD) of 173 and 20, which is 1. Divide both the numerator and the denominator by 1 to simplify the fraction:
w = 173/20 = 8 13/20
Therefore, the solution to the equation w - 5 2/5 = 3 1/4 is w = 8 13/20.
Solve the equation w−5 2/5=3 1/4.(1 point)
Responses
w=2 3/20
w equals 2 Start Fraction 3 over 20 end fraction
w=8 13/20
w equals 8 Start Fraction 13 over 20 end fraction
w=8 3/20
w equals 8 Start Fraction 3 over 20 end fraction
w=8 3/9
1 answer