To simplify the expression you provided, we will break it down step by step.
The expression is:
−0.1+169+11.1−209−0.1+169+11.1−209
First, let's combine the like terms.
1. Combine the -0.1 terms:
−0.1−0.1=−0.2
2. Combine the
11.1 terms:
11.1+11.1=22.2
3. Combine the
169 terms:
169+169=329
4. Combine the
−209 terms:
−209−209=−409
Now, rewrite the expression using these combined results:
−0.2+329+22.2−409
Next, convert
−0.2 and
22.2 to fractions for easier calculation:
−0.2=−210=−15
22.2=22210=1115
Now we have:
−15+329+1115−409
Now, combine the fractions with a common denominator:
The least common multiple of 5 and 9 is 45.
1. Convert
−15 to have a denominator of 45:
−15=−945
2. Convert
1115 to have a denominator of 45:
1115=99945
3. Convert
329 to have a denominator of 45:
329=16045
4. Convert
−409 to have a denominator of 45:
−409=−20045
Now, combine all of these:
−945+16045+99945−20045=−9+160+999−20045=95045
Next, simplify
95045:
950÷545÷5=1909Thus, the final simplified expression is
1909.