Let's solve these problems step-by-step.
1. [tex]\(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\)[/tex]
- Add the fractions:
[tex]\[
\frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{1+1+1}{4} = \frac{3}{4}
\][/tex]
- Therefore,
[tex]\[
\frac{1}{4}+\frac{1}{4}+\frac{1}{4} = 0.75
\][/tex]
2. [tex]\(\frac{1}{3}+\frac{2}{3}\)[/tex]
- Add the fractions:
[tex]\[
\frac{1}{3} + \frac{2}{3} = \frac{1+2}{3} = \frac{3}{3} = 1
\][/tex]
- Therefore,
[tex]\[
\frac{1}{3}+\frac{2}{3} = 1
\][/tex]
3. [tex]\(5 \frac{3}{4}-3 \frac{1}{1}\)[/tex]
- Convert mixed numbers to improper fractions:
[tex]\[
5 \frac{3}{4} = 5 + \frac{3}{4} = 5.75
\][/tex]
[tex]\[
3 \frac{1}{1} = 3 + 1 = 4
\][/tex]
- Subtract the second mixed number from the first:
[tex]\[
5.75 - 4 = 1.75
\][/tex]
- Therefore,
[tex]\[
5 \frac{3}{4} - 3 \frac{1}{1} = 1.75
\][/tex]
4. [tex]\(1 \frac{4}{5}+2 \frac{2}{5}\)[/tex]
- Convert mixed numbers to improper fractions:
[tex]\[
1 \frac{4}{5} = 1 + \frac{4}{5} = 1.8
\][/tex]
[tex]\[
2 \frac{2}{5} = 2 + \frac{2}{5} = 2.4
\][/tex]
- Add the mixed numbers:
[tex]\[
1.8 + 2.4 = 4.2
\][/tex]
- Therefore,
[tex]\[
1 \frac{4}{5} + 2 \frac{2}{5} = 4.2
\][/tex]
5. [tex]\(7 \frac{4}{10}-2 \frac{2}{10}\)[/tex]
- Convert mixed numbers to improper fractions:
[tex]\[
7 \frac{4}{10} = 7 + \frac{4}{10} = 7.4
\][/tex]
[tex]\[
2 \frac{2}{10} = 2 + \frac{2}{10} = 2.2
\][/tex]
- Subtract the second mixed number from the first:
[tex]\[
7.4 - 2.2 = 5.2
\][/tex]
- Therefore,
[tex]\[
7 \frac{4}{10} - 2 \frac{2}{10} = 5.2
\][/tex]
Summarizing the answers:
1. [tex]\(\frac{1}{4}+\frac{1}{4}+\frac{1}{4} = 0.75\)[/tex]
2. [tex]\(\frac{1}{3}+\frac{2}{3} = 1\)[/tex]
3. [tex]\(5 \frac{3}{4}-3 \frac{1}{1} = 1.75\)[/tex]
4. [tex]\(1 \frac{4}{5}+2 \frac{2}{5} = 4.2\)[/tex]
5. [tex]\(7 \frac{4}{10}-2 \frac{2}{10} = 5.2\)[/tex]
