\(\tfrac{18}{135}\) and \(\tfrac{90}{675}\) are proper, unlike and _____ fractions.
\(\tfrac{18}{135}\) and \(\tfrac{90}{675}\) are proper, unlike and equivalent fractions.
Step 1: Check “proper”.
(18<135) ⇒ ( frac{18}{135}) is proper.
(90<675) ⇒ ( frac{90}{675}) is proper.
Step 2: Check “unlike”.
Denominators: (135) and (675).
(135 e 675) ⇒ the fractions are unlike.
Step 3: Reduce ( frac{18}{135}).
Common factor: (9).
(18 div 9 = 2)
(135 div 9 = 15)
So, ( frac{18}{135}= frac{2}{15}).
Step 4: Reduce ( frac{90}{675}).
Common factor: (45).
(90 div 45 = 2)
(675 div 45 = 15)
So, ( frac{90}{675}= frac{2}{15}).
Step 5: Compare the simplified forms.
Both are ( frac{2}{15}).
Therefore, they are equivalent fractions.