Questions: Simplify and reduce to a fraction 10x/(5x+3)-(0x-6)/(5x+3)=(10x+)/(5x+3)

Simplify and reduce to a fraction 10x/(5x+3)-(0x-6)/(5x+3)=(10x+)/(5x+3)
Transcript text: Simplify and reduce to a fraction \[ \frac{10 x}{5 x+3}-\frac{0 x-6}{5 x+3}=\frac{10 x+}{5 x+3} \]
failed

Solution

failed
failed

Solution Steps

To simplify and reduce the given expression to a fraction, we need to combine the fractions by finding a common denominator and then simplifying the resulting expression.

Solution Approach
  1. Identify the common denominator for the fractions.
  2. Combine the numerators over the common denominator.
  3. Simplify the resulting expression.
Step 1: Identify the Common Denominator

The common denominator for the fractions \(\frac{10x}{5x+3}\) and \(\frac{-6}{5x+3}\) is \(5x + 3\).

Step 2: Combine the Numerators

Combine the numerators over the common denominator: \[ \frac{10x}{5x+3} - \frac{-6}{5x+3} = \frac{10x + 6}{5x+3} \]

Step 3: Simplify the Expression

Simplify the resulting fraction: \[ \frac{10x + 6}{5x + 3} \]

Step 4: Further Simplification

Notice that the numerator \(10x + 6\) and the denominator \(5x + 3\) do not have any common factors other than 1. Therefore, the fraction cannot be simplified further.

Final Answer

\[ \boxed{\frac{10x + 6}{5x + 3}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following are characteristics of a normal distribution? The normal distribution curve is symmetric about the standard deviation of the mean is approximately 1.68 The total area under the curve is 1.00 The mean, median, and mode are located at the center of the distribution curve is 100 The area under the part of a normal curve that lies within 1 standard deviation of the mean is approximately 0.95
failedAnswered
Un automóvil realiza un recorrido en línea recta, primero recorre 28.94 km hacia un sentido y después realiza 12.01 km sobre la misma línea, pero en sentido contrario. Todo el recorrido lo hace en un cuarto de hora ¿Cuál es la magnitud de la velocidad ( km / h ) del automóvil? Únicamente coloca el valor numérico, SIN UNIDADES. Utiliza al menos 4 DECIMALES para el procedimiento. Coloca únicamente 2 DECIMALES en el resultado sin redondear.
failedAnswered
Solve the linear equation using equivalent equations to isolate the variable. Express your solution as an integer, as a simplified fraction, or as a decimal number. 22z - 21z - 19 = -14
failedAnswered
CONNECTING CONCEPTS The measure of an angle is 6° less than the measure of its complement. Identify and solve an algebraic equation. x+(x+6)=90 x+(x-6)=90 x+(x+6)=180 x+(x-6)=180 Find the measure of each angle.
failedAnswered
How many significant figures are there in each of the following numbers? 65.00 4094000.0 1930 838.0