For example, if the problem asks, “What is 56{\displaystyle {\frac {5}{6}}} of 294{\displaystyle 294}," you need to set up 56×294{\displaystyle {\frac {5}{6}}\times 294}.
For example, you would change 294{\displaystyle 294} to 2941{\displaystyle {\frac {294}{1}}}. So the new problem becomes 56×2941{\displaystyle {\frac {5}{6}}\times {\frac {294}{1}}}.
For example, 5×294=1,470{\displaystyle 5\times 294=1,470}.
For example, 6×1=6{\displaystyle 6\times 1=6}, so 56×2941=1,4706{\displaystyle {\frac {5}{6}}\times {\frac {294}{1}}={\frac {1,470}{6}}}.
For example, 1,470÷6=245{\displaystyle 1,470\div 6=245}, so 56{\displaystyle {\frac {5}{6}}} of 294=245{\displaystyle 294=245}.
For example, if the problem asks, “What fraction of 294{\displaystyle 294} is 245{\displaystyle 245},” you need to create a fraction from the two given whole numbers.
For example, if the problem asks, “What fraction of 294{\displaystyle 294} is 245{\displaystyle 245},” you know that 245{\displaystyle 245} is the numerator, because this is the number that is a part, or fraction, of 294{\displaystyle 294}. So the fraction is 245294{\displaystyle {\frac {245}{294}}}.
For example, the greatest common factor of 245{\displaystyle 245} and 294{\displaystyle 294} is 49{\displaystyle 49}:245÷49=5{\displaystyle 245\div 49=5}, so the reduced numerator is 5{\displaystyle 5}. 294÷49=6{\displaystyle 294\div 49=6}, so the reduced denominator is 6{\displaystyle 6}. So, 245{\displaystyle 245} is 56{\displaystyle {\frac {5}{6}}} of 294{\displaystyle 294}.
For example, a problem might ask, “If you have $294{\displaystyle $294}, and you give 56{\displaystyle {\frac {5}{6}}} of it away, how much money do you have left?” In this case, you will multiply, then subtract.
For example, to find 294×56{\displaystyle 294\times {\frac {5}{6}}}, you would change the problem to 2941×56{\displaystyle {\frac {294}{1}}\times {\frac {5}{6}}}.
For example, 294×5=1,470{\displaystyle 294\times 5=1,470}.
For example, 1×6=6{\displaystyle 1\times 6=6}. So the new fraction is 1,4706{\displaystyle {\frac {1,470}{6}}}.
For example, 1,470÷6=245{\displaystyle 1,470\div 6=245}, so 56{\displaystyle {\frac {5}{6}}} of 294=245{\displaystyle 294=245}. This is the fractional amount you are decreasing by.
For example, 294−245=49{\displaystyle 294-245=49}. So, if you have $294{\displaystyle $294}, and you give 56{\displaystyle {\frac {5}{6}}} of it away, you have $49{\displaystyle $49} left.
