$\frac{\1}{\200}$ - $\frac{\1}{\250}$ -14

asked by guest
on Mar 27, 2025 at 8:36 pm



You asked:

Evaluate the expression: 1200125014\frac{1}{200} - \frac{1}{250} - 14

MathBot Answer:

1200125014=139991000=13.999 \frac{1}{200} - \frac{1}{250} - 14 = - \frac{13999}{1000} = -13.999


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of 1200\frac{1}{200}, 1250\frac{-1}{250}, and 141\frac{-14}{1} is 10001000. 1200125014=152005+142504+14100011000=5+4+140001000=139991000 \begin{aligned} \frac{1}{200} - \frac{1}{250} - 14 &= \frac{1 \cdot 5}{200 \cdot 5} + \frac{-1 \cdot 4}{250 \cdot 4} + \frac{-14 \cdot 1000}{1 \cdot 1000} \\ &= \frac{5 + -4 + -14000}{1000} \\ &= \frac{-13999}{1000} \end{aligned}