Solve the following problem:
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Solve the following problem:
First, let's solve the addition problem that appears in the denominator:
Note that in the resulting fraction (18:54), we can reduce both the numerator and denominator by 18.
Therefore, the result we get is:
\( 100+5-100+5 \)
You can only simplify when you have multiplication or division, not addition! The expression means 18 divided by the sum of 18+36, so you must add first.
List factors of both numbers: 18 has factors 1,2,3,6,9,18 and 54 has factors 1,2,3,6,9,18,27,54. The largest common factor is 18, so divide both by 18.
Remember PEMDAS! Parentheses first, then calculate what's in the denominator (18+36=54) before doing the division .
Convert back to decimals: = 0.333... and = 18÷54 = 0.333... Same result means correct!
Yes! When you see addition in the denominator, factor out common terms: 18+36 = 18(1+2) = 18×3 = 54, so .
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