Question

Solve for the unknown. q- 5/6=1 5/6
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Answer 1

q=8/3

Explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer 2

`q=2(2)/(3)`

Explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

`q-(5)/(6)=1 (5)/(6)`

`q-(5)/(6)=(1 \cdot 6+5)/(6)`

`q-(5)/(6)=(11)/(6)`

Now, add 5/6 to both sides of the equation to isolate q:

`q-(5)/(6)+(5)/(6)=(11)/(6)+(5)/(6)`

`q=(11)/(6)+(5)/(6)`

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

`q=(11+5)/(6)`

`q=(16)/(6)`

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).

The GCF of 16 and 6 is 2, therefore:

`q=(16/ 2)/(6 / 2)`

`q=(8)/(3)`

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

`q=2 \; \textsf{remainder}\;2`

The mixed number answer is the whole number and the remainder divided by the denominator:

`q=2(2)/(3)`