If you start with a fraction p/q and are told that x/y is an equivalent fraction, then the simplest check is to cross-multiply: p*y must be equal to q*x.
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multiplication is the Inverse operationof division so it could be used to check my work
Multiplication
You can check by cross-multiplication. For example, to check whether 1/2 is equivalent to 3/6, multiply 1 x 6 = 6, and 2 x 3 = 6 (the numerator of each fraction with the denominator of the other fraction). Since in this case the results are equal, the two fractions are equivalent.
u can go plus pluse pluse
You don't. You can check addition with subtraction or subtraction with addition, since subtraction is the opposite of addition. Similary, you can check division with multiplication, or vice versa.