ab+a+b if a=1/4 and b=1/5
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To evaluate the expression ab + a + b, we substitute the given values of a = 1/4 and b = 1/5 into the expression.
Step 1: Substitute the value of a.
ab + a + b = (1/4)b + (1/4) + b.
Step 2: Substitute the value of b.
ab + a + b = (1/4)(1/5) + (1/4) + (1/5).
Step 3: Simplify the expression.
To multiply fractions, we multiply the numerators together and the denominators together.
1/4 * 1/5 = (1*1)/(4*5) = 1/20.
Now, we can substitute this back into the expression.
ab + a + b = 1/20 + (1/4) + (1/5).
Step 4: Find a common denominator.
The common denominator of 20, 4, and 5 is 20.
ab + a + b = 1/20 + (5/20) + (4/20).
Step 5: Combine the fractions with a common denominator.
1/20 + 5/20 + 4/20 = (1 + 5 + 4)/20 = 10/20.
Step 6: Simplify the fraction.
10/20 = 1/2.
Therefore, when a = 1/4 and b = 1/5, the expression ab + a + b evaluates to 1/2.