Question

3 1/4 - 2 2/5 ; 5 2/3 - 3 1/6 ; 3 2/3 + 1/5 ; 3 - 4/5​

Answer 1

1. 17/20
2. 2 1/2
3. 4 3/8
4. 11/5

Answer 2

1. 17/20
2. 2 1/2
3. 4 3/8
4. 11/5

Answer 3

Let's solve these arithmetic problems step by step:

1. $3 \frac{1}{4} - 2 \frac{2}{5}$: To subtract mixed numbers, first subtract the whole numbers and then the fractions.

   Whole numbers: $3 - 2 = 1$

   Fractions: $\frac{1}{4} - \frac{2}{5}$

   To subtract fractions with different denominators, you need to find a common denominator. The least common denominator for 4 and 5 is 20. So, you can rewrite the fractions with a common denominator:

   $\frac{1}{4} = \frac{5}{20}$ and $\frac{2}{5} = \frac{8}{20}$

   Now, subtract the fractions:

   $\frac{5}{20} - \frac{8}{20} = \frac{5 - 8}{20} = -\frac{3}{20}$

   Now, add the whole number and fraction results:

   $1 - \frac{3}{20} = \frac{20}{20} - \frac{3}{20} = \frac{17}{20}$

2. $5 \frac{2}{3} - 3 \frac{1}{6}$: Follow the same steps as in the first problem.

   Whole numbers: $5 - 3 = 2$

   Fractions: $\frac{2}{3} - \frac{1}{6}$

   Find a common denominator, which is 6, and rewrite the fractions:

   $\frac{2}{3} = \frac{4}{6}$ and $\frac{1}{6}$

   Subtract the fractions:

   $\frac{4}{6} - \frac{1}{6} = \frac{3}{6}$

   Simplify the fraction:

   $\frac{3}{6} = \frac{1}{2}$

   Now, add the whole number and fraction results:

   $2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}$

3. $3 \frac{2}{3} + \frac{1}{5}$: Follow the same steps as in the first problem.

   Whole numbers: $3$

   Fractions: $\frac{2}{3} + \frac{1}{5}$

   Find a common denominator, which is 15, and rewrite the fractions:

   $\frac{2}{3} = \frac{10}{15}$ and $\frac{1}{5} = \frac{3}{15}$

   Add the fractions:

   $\frac{10}{15} + \frac{3}{15} = \frac{10 + 3}{15} = \frac{13}{15}$

   Now, add the whole number and fraction results:

   $3 + \frac{13}{15} = \frac{45}{15} + \frac{13}{15} = \frac{58}{15}$