I've noticed that if I keep fraction numbers all the way until the final calculation and then use the calculator to calculate the final answer, I have the least possible error in my calculation.

But If along the way (solving the equation), I'm calculating all the fractions using the calculator, in the end, the answer has a huge error.

For example, right now I finished a 2x2 system with answers x = 2.05 and y = 14.7 while the correct answers are

**x = 2 and y = 14**.

So are my thoughts correct? Because along the way I was calculating fractions, keeping only some of the decimal points, then the final answer had an error equal to the sum of all errors in the previous calculation?

So should I keep fractions untouched until the final calculation?