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Solve the following problems: 1. Is 6 rac25 = 1 rac35? 2. Calculate 5 rac34 - 2 rac14.
Mathematics
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7 stepsHere are the solutions to the problems:
Convert both mixed numbers to improper fractions.
$$ 6\frac{2}{5} = \frac{(6 \times 5) + 2}{5} = \frac{30 + 2}{5} = \frac{32}{5} $$ $$ 1\frac{3}{5} = \frac{(1 \times 5) + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5} $$Compare the improper fractions.
$$ \frac{32}{5} \text{ and } \frac{8}{5} $$ Since $32 \neq 8$, then $\frac{32}{5} \neq \frac{8}{5}$.Conclude whether the statement is true or false.
The statement $6\frac{2}{5} = 1\frac{3}{5}$ is $\boxed{\text{False}}$.2.
Subtract the whole number parts.
$$ 5 - 2 = 3 $$Subtract the fractional parts.
The denominators are already the same.
Simplify the fractional part.
$$ \frac{2}{4} = \frac{1}{2} $$Combine the whole number and the simplified fraction.
$$ 3 + \frac{1}{2} = 3\frac{1}{2} $$ The difference is $\boxed{3\frac{1}{2}}$.
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