Question

1 1/6 change to an improper fraction​

Answer 1

7/6

Explanation:

`1(1)/(6)=(6)/(6)+(1)/(6)=(7)/(6)`

Answer 2

7/6

Explanation:

Given the mixed number:

`\displaystyle{1(1)/(6)}`

Changing to an improper fraction, you can do by applying the law of "bottom times side add top". Here, bottom is equivalent to 6, side is 1 and the top is 1. Thus, by applying the law, we have:

`\displaystyle{6 * 1 + 1 = 7}`

Once you evaluate the value, divide the number by the bottm. Hence, the improper fraction form is:

`\displaystyle{(7)/(6)}`

Furthermore, the law actually comes from the following. We know that:

`\displaystyle{1(1)/(6) = 1 + (1)/(6)}`

Since you are adding 1 with 1/6, we have to make the denominator equivalent to each other. Therefore, multiply 1 both numerator and denominator by 6:

`\displaystyle{(6)/(6) + (1)/(6)}`

Now that the denominators from both sides are equal, you can add the numerator together which gives us the same result of 7/6.