Question

How much of the circle is shaded? 4/7+1/3 HELP​

Answer 1

19/21

Explanation:

When we add two fractions, such as 4/7 + 1/3, we make sure that the two denominators are the same and then we simply add the numerators. In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them intact. We also simplify the answers to fraction problems whenever possible.

Answer 2

First find how much of the circle is NOT shaded.

You know the unshaded parts are 4/7 and 1/3, so combine them.

To combine fractions, they need to have the same denominator. To figure out what value/number to make the denominator, find the least common denominator(LCD) of 7 and 3:

3: 3, 6, 9, 12, 15, 18, 21, 24

7: 7, 14, 21, 28

The LCD of 7 and 3 = 21, so:

`(4)/(7) +(1)/(3)` Multiply 4/7 by 3/3, and multiply 1/3 by 7/7 to make the denominator the same

`((3)/(3) )(4)/(7) +((7)/(7) )(1)/(3)`

`(12)/(21) +(7)/(21)` Now combine the fractions

`(19)/(21)`

Now that you've found the unshaded part of the circle, the part left over will be the shaded part of the circle:

`1-(19)/(21)` or
`(21)/(21) -(19)/(21)` (1 or 21/21 is the fraction of the entire/whole circle, so you subtract it by the unshaded part to find the fraction left over which will = the part of the circle that is shaded)

`(2)/(21)` This is how much the circle is shaded