Evaluate b-(-(1)/(8))+c where b=2 and c=-(7)/(4).

Substitute Values: Substitute the given values of b and c into the expression. We have b = 2 and c = -(7/4). So we substitute these values into the expression b - (-(1/8)) + c to get 2 - (-(1/8)) - (7/4).Simplify Expression: Simplify the expression by removing the double negative. The expression 2 - (-(1/8)) becomes 2 + (1/8) because subtracting a negative is the same as adding a positive.Add Fractions: Add the fractions (1/8) and -(7/4). To add these fractions, we need a common denominator. The least common denominator for 8 and 4 is 8. So we convert -(7/4) to -(14/8) to have the same denominator.Add Common Denominator: Add the fractions with the common denominator. Now we add (1/8) and -(14/8) to get (1/8) - (14/8) = -(13/8).Add Whole Number: Add the whole number and the fraction. Finally, we add the whole number 2 to the fraction -(13/8). Since 2 is the same as 16/8, we have 16/8 - 13/8 = 3/8.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate
b-(-(1)/(8))+c where
b=2 and
c=-(7)/(4).

Evaluate $b-\left(-\frac{1}{8}\right)+c$ where $b=2$ and $c=-\frac{7}{4}$ .

View step-by-step help

Home

Math Problems

Grade 8

Evaluate multi-variable expressions

Full solution

Q. Evaluate

b-\left(-\frac{1}{8}\right)+c

where

b=2

and

c=-\frac{7}{4}

Substitute Values: Substitute the given values of $b$ and $c$ into the expression. $\newline$ We have $b = 2$ and $c = -\left(\frac{7}{4}\right)$ . So we substitute these values into the expression $b - \left(-\left(\frac{1}{8}\right)\right) + c$ to get $2 - \left(-\left(\frac{1}{8}\right)\right) - \left(\frac{7}{4}\right)$ .
Simplify Expression: Simplify the expression by removing the double negative. $\newline$ The expression $2 - (-(\frac{1}{8}))$ becomes $2 + (\frac{1}{8})$ because subtracting a negative is the same as adding a positive.
Add Fractions: Add the fractions $(\frac{1}{8})$ and $-(\frac{7}{4})$ . To add these fractions, we need a common denominator. The least common denominator for $8$ and $4$ is $8$ . So we convert $-(\frac{7}{4})$ to $-(\frac{14}{8})$ to have the same denominator.
Add Common Denominator: Add the fractions with the common denominator. $\newline$ Now we add $(\frac{1}{8})$ and $-(\frac{14}{8})$ to get $(\frac{1}{8}) - (\frac{14}{8}) = -(\frac{13}{8})$ .
Add Whole Number: Add the whole number and the fraction. $\newline$ Finally, we add the whole number $2$ to the fraction $-\frac{13}{8}$ . Since $2$ is the same as $\frac{16}{8}$ , we have $\frac{16}{8} - \frac{13}{8} = \frac{3}{8}$ .