x/2+x= 5/4 — step-by-step solution

Let's solve in

ℝ

\frac{x}{2} + x = \frac{5}{4}

ⓘ Like terms are grouped by adding their coefficients:

\frac{x}{2} + x

\frac{3 x}{2}

\frac{3 x}{2} = \frac{5}{4}

3 x = \frac{5}{4} \cdot 2

ⓘ Multiplying a fraction by a number multiplies its numerator:

\frac{5}{4} \cdot 2

\frac{5 \cdot 2}{4}

\frac{10}{4}

3 x = \frac{10}{4}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{10}{4}

\frac{5 \cdot 2}{2 \cdot 2}

\frac{5}{2}

3 x = \frac{5}{2}

ⓘ Both sides are divided by

3

x = \frac{\frac{5}{2}}{3}

ⓘ Dividing a fraction by

3

is multiplying its denominator by

3

\frac{\frac{5}{2}}{3}

\frac{5}{2 \cdot 3}

x = \frac{5}{2 \cdot 3}

ⅰ

2 \cdot 3

6

▶Solution obtained:

x = \frac{5}{6}

The numeric value of:

x = \frac{5}{6}

is:

▷

x = \approx 0.8333