Question #fe19f

Question

Question #fe19f

1 Answer

Impact of this question

1883 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-04T12:19:04

$x = \frac{2}{15}$ $x = 2/15$

Explanation:

The answer to this question is the solution to the equation:

$\frac{4}{5} - x = \frac{2}{3}$ $4/5 - x = 2/3$

To combine the fractions, first find the least common factor of $3$ $3$ and $5$ $5$ by looking at the multiples of the largest number, and choosing the first one that is a multiple of the lower one. In our case, that least common factor is $15$ $15$ . Then, multiply the numerator and denominator of each fraction by the same number, to get equivalent fractions with $15$ $15$ in the denominator, then subtract the resulting $\frac{10}{15}$ $10/15$ from both sides:

$\frac{12}{15} - \frac{15 x}{15} - \frac{10}{15} = 0 \Rightarrow \frac{12 - 15 x - 10}{15} = 0$ $12/15 - (15x)/15 - 10/15 = 0 => (12 - 15x - 10)/15 = 0$

$\Rightarrow \frac{2 - 15 x}{15} = 0 \Rightarrow 2 - 15 x = 0 \Rightarrow 15 x = 2 \Rightarrow x = \frac{2}{15}$ $=> (2 - 15x)/15 = 0 => 2 - 15x = 0 => 15x = 2 => x = 2/15$

Note that when we have a zero on one side, we can multiply both sides of the equation with the denominator to get rid of it, since the zero "absorbs" it ( $15 \cdot 0 = 0$ $15 * 0 = 0$ )

Science

Math

Humanities

... and beyond

Question #fe19f

1 Answer

Explanation:

Related questions

Impact of this question