How do you add and simplify $5/7 + 3/4$ ?

Question

18915 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T18:59:25

$=41/28 = 1 13/28$

$5/7+3/4$

$= (5xx4)/(7xx4)+(3xx7)/(4xx7)$ [Since Lowest Common Multiple = 28]

$= 20/28+21/28$

$= (20+21)/28$

$= 41/28$

$= 1 13/28$

Answer 2 · 2018-03-02T18:59:42

$41/28$

To add fractions, we need to find a common denominator. The easiest way to so multiply each fraction by the other denominator:

$4/4 xx 5/7 + 3/4 xx 7/7$

The reason we multiply by $4/4$ and $7/7$ is that these are really $1$ . When we multiply by $1$ we technically don't change the value of the number

$20/28 + 21/28$

$(20+21)/28$

$41/28$

Now we simplify this:

$(41 xx 1)/(2 xx 2 xx 7)$

$41$ is a prime number, so we actually can't simplify this further

How do you add and simplify 5/7 + 3/45/7 + 3/4?