Question

1/2+2/5. 1/2-2/53/4+2/3. 3/5-1/31/4-1/6. 3/5+1/3

Answer 1

1/2+2/5=5/10+4/10=9/10
3/4+2/3=9/12+8/12=17/12=1 12/5
1/4-1/6=3/12-2/12=1/12
1/2-2/5=5/10-4/10=1/10
3/5-1/3=9/15-5/15=4/15
3/5+1/3=9/15+5/15=14/15

Answer 2

It looks like you've provided a list of mathematical expressions involving fractions. I'll go through each expression and simplify them:

1. $\frac{1}{2} + \frac{2}{5}$ To add these fractions, we need a common denominator, which is $10$. So: $\frac{1}{2} + \frac{2}{5} = \frac{5}{10} + \frac{4}{10} = \frac{9}{10}$

2. $\frac{1}{2} - \frac{2}{5}$ Again, we need a common denominator, which is $10$: $\frac{1}{2} - \frac{2}{5} = \frac{5}{10} - \frac{4}{10} = \frac{1}{10}$

3. $\frac{3}{4} + \frac{2}{3}$ To add these fractions, we need a common denominator, which is $12$: $\frac{3}{4} + \frac{2}{3} = \frac{9}{12} + \frac{8}{12} = \frac{17}{12}$ (which can also be written as $1\frac{5}{12}$)

4. $\frac{3}{5} - \frac{1}{3}$ For subtraction, we still need a common denominator, which is $15$: $\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac{4}{15}$

5. $\frac{1}{4} - \frac{1}{6}$ Common denominator is $12$: $\frac{1}{4} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}$

6. $\frac{3}{5} + \frac{1}{3}$ Common denominator is $15$: $\frac{3}{5} + \frac{1}{3} = \frac{9}{15} + \frac{5}{15} = \frac{14}{15}$

So, to summarize the simplified expressions:

1. $\frac{1}{2} + \frac{2}{5} = \frac{9}{10}$
2. $\frac{1}{2} - \frac{2}{5} = \frac{1}{10}$