Chapter 2: Q.47. (page 112)

Solve the below equation with fraction coefficients.
$\frac{1}{2} a + \frac{3}{8} = \frac{3}{4}$

Short Answer

Expert verified

The solution is $a = \frac{3}{4}$ .

Step by step solution

Step 1. Given information.

The given equation is $\frac{1}{2} a + \frac{3}{8} = \frac{3}{4}$ .

Step 2. Find the least common denominator of all fractions in the given equation.

We know that the LCM of denominators $2, 8, 4$ is $8$ .

So, the LCD of all fractions $\frac{1}{2}, \frac{3}{8}, \frac{3}{4}$ is $8$ .

Step 3. Multiply both sides of the equation with LCD.

Multiply both sides of the equation with $8$ .

$8 (\frac{1}{2} a + \frac{3}{8}) = 8 (\frac{3}{4}) 4 a + 3 = 6$

Step 4. Solve the above equation.

Subtract $3$ from both sides.

$4 a + 3 - 3 = 6 - 3 4 a = 3$

Divide each side by $4$ .

$\frac{4 a}{4} = \frac{3}{4} a = \frac{3}{4}$

Hence, the solution of the given linear equation is $a = \frac{3}{4}$ .

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Solve the below equation with fraction coefficients.
$\frac{1}{2} a + \frac{3}{8} = \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the least common denominator of all fractions in the given equation.

Step 3. Multiply both sides of the equation with LCD.

Step 4. Solve the above equation.

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Solve the below equation with fraction coefficients.12a+38=34

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the least common denominator of all fractions in the given equation.

Step 3. Multiply both sides of the equation with LCD.

Step 4. Solve the above equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Solve the below equation with fraction coefficients.
$\frac{1}{2} a + \frac{3}{8} = \frac{3}{4}$