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Answer:
1. 1/4
2. 3 and 1/5
Step-by-step explanation:
1.
[tex] \frac{3}{4} - \frac{6}{12}[/tex]
the LCD is 12 so ...
[tex] \frac{3}{4} - \frac{6}{12}[/tex]
[tex] \frac{9}{12} - \frac{6}{12} [/tex]
Subract the numerators
[tex] \frac{9 - 6}{12} = \frac{3}{12} [/tex]
Reduce to lowest term, the GCF of 3 and 12 is 3
[tex] \frac{3}{12} or \frac{1}{4} [/tex]
2.
2.
[tex]5 \frac{5}{6} - 2 \frac{3}{10}[/tex]
Subract the whole numbers, 5-2 is 3 and the LCD of tge fractions is 30, so ...
[tex] \frac{5}{6} - \frac{3}{10}[/tex]
Becomes ...
[tex] \frac{15}{30} - \frac{9}{30}[/tex]
Subtract the numerators
[tex] \frac{15 - 9}{30} = \frac{6}{30} [/tex]
Reduce to lowest term, GCF is 6
[tex] \frac{6}{30} or \frac{1}{5} [/tex]
So tge whole answer is
[tex]3 \frac{1}{5} [/tex]