3. Solve: 0.75+1.3−0.4075+1.3−0.4.

asked by guest
on Mar 17, 2025 at 12:28 am



You asked:

Evaluate the expression: 0.75+1.30.4075+1.30.40.75 + 1.3 - 0.4075 + 1.3 - 0.4

MathBot Answer:

0.75+1.30.4075+1.30.4=1017400=2.5425 0.75 + 1.3 - 0.4075 + 1.3 - 0.4 = \frac{1017}{400} = 2.5425


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of 75100\frac{75}{100}, 11\frac{1}{1}, 310\frac{3}{10}, 407510000\frac{-4075}{10000}, 11\frac{1}{1}, 310\frac{3}{10}, and 410\frac{-4}{10} is 1000010000. 0.75+1.30.4075+1.30.4=75100100100+110000110000+31000101000+40751100001+110000110000+31000101000+41000101000=7500+10000+3000+4075+10000+3000+400010000=2542510000=1017400 \begin{aligned} 0.75 + 1.3 - 0.4075 + 1.3 - 0.4 &= \frac{75 \cdot 100}{100 \cdot 100} + \frac{1 \cdot 10000}{1 \cdot 10000} + \frac{3 \cdot 1000}{10 \cdot 1000} + \frac{-4075 \cdot 1}{10000 \cdot 1} + \frac{1 \cdot 10000}{1 \cdot 10000} + \frac{3 \cdot 1000}{10 \cdot 1000} + \frac{-4 \cdot 1000}{10 \cdot 1000} \\ &= \frac{7500 + 10000 + 3000 + -4075 + 10000 + 3000 + -4000}{10000} \\ &= \frac{25425}{10000} \\&= \frac{1017}{400} \end{aligned}