The order of operations with fractions is the same as the order of operations with whole numbers:
Any operations inside brackets are evaluated first
Then multiplications and divisions are evaluated from left to right
Then additions and subtractions are evaluated from left to right
There are two things to keep in mind with fractions.
First, while a fraction is a way of writing a division, the fraction takes precedence over other divisions. For example, 5\div\dfrac{3}{4} is the same as 5\div(3\div4) and not 5\div3\div4.
Second, there is effectively a pair of brackets around both the numerator and the denominator of a fraction. So \dfrac{2+7}{9+6} is the same as (2+7)\div(9+6) and not 2+7\div9+6.
Evaluate and simplify \dfrac{3}{40}+\dfrac{4}{5}\times\dfrac{7}{8}.
Evaluate and simplify \dfrac{4}{35}-\left(\dfrac{6}{7}-\dfrac{4}{5}\right).
Evaluate and simplify \dfrac{2}{3}\div\dfrac{3}{4}+\dfrac{7}{9}.
The order of operations with fractions is the same as the order of operations with whole numbers.
Operations inside fractions take precedence over other operations.