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2. [tex]$\frac{40}{14} - \frac{1}{2} = \frac{10}{1} - \frac{7}{14} = \frac{13}{14} = \frac{3}{14}$[/tex]

3. [tex]$\frac{13}{6} + \frac{53}{18} = \frac{1}{3} + \frac{3}{18} = \frac{92}{1} = \square$[/tex]

4. [tex]$\frac{1}{3} + \frac{9}{6} = \frac{6}{1} = \frac{1}{3}$[/tex]

5. [tex]$\frac{5}{3} - \frac{6}{18} = \frac{-}{3} = \frac{1}{8} = \square$[/tex]

6. [tex]$\frac{14}{4} - \frac{7}{8} = \frac{1}{8} - \frac{}{8} = $[/tex]

7. [tex]$\frac{19}{5} + \frac{7}{10} = \frac{1}{10} + \frac{}{1} = - - $[/tex]

Sagot :

GinnyAnswer
Let's carefully work through each item step-by-step:

### 2. \(\frac{40}{14} - \frac{1}{2}\)

1. Simplify the fractions: \(\frac{40}{14} = 2.857142857142857\)
2. \(\frac{1}{2} = 0.5\)
3. Subtract the second fraction from the first: \(2.857142857142857 - 0.5 = 2.357142857142857\)

So, \(\frac{40}{14} - \frac{1}{2} = 2.357142857142857\)

### 3. \(\frac{13}{6} + \frac{53}{18}\)

1. Convert \(\frac{13}{6}\) to an exact decimal: \(\frac{13}{6} = 2.166666666666667\)
2. Convert \(\frac{53}{18}\) to an exact decimal: \(\frac{53}{18} = 2.9444444444444446\)
3. Add the values: \(2.166666666666667 + 2.9444444444444446 = 5.111111111111111\)

So, \(\frac{13}{6} + \frac{53}{18} = 5.111111111111111\)

### 4. \(\frac{1}{3} + \frac{9}{6}\)

1. \(\frac{1}{3}\) is already a simplified fraction.
2. Simplify \(\frac{9}{6}\): \(\frac{9}{6} = 1.5\)
3. Convert \(\frac{1}{3}\) to decimal: \(\frac{1}{3} = 0.3333333333333333\)
4. Add the values: \(0.3333333333333333 + 1.5 = 1.8333333333333333\)

So, \(\frac{1}{3} + \frac{9}{6} = 1.8333333333333333\)

### 5. \(\frac{5}{3} - \frac{6}{18}\)

1. Simplify \(\frac{6}{18}\): \(\frac{6}{18} = \frac{1}{3} = 0.3333333333333333\)
2. Simplify \(\frac{5}{3} = 1.6666666666666667\)
3. Subtract the second fraction from the first: \(1.6666666666666667 - 0.3333333333333333 = 1.3333333333333335\)

So, \(\frac{5}{3} - \frac{6}{18} = 1.3333333333333335\)

### 6. \(\frac{14}{4} - \frac{7}{8}\)

1. Simplify \(\frac{14}{4} = 3.5\)
2. Simplify \(\frac{7}{8} = 0.875\)
3. Subtract the second fraction from the first: \(3.5 - 0.875 = 2.625\)

So, \(\frac{14}{4} - \frac{7}{8} = 2.625\)

### 7. \(\frac{19}{5} + \frac{7}{10}\)

1. Simplify \(\frac{19}{5} = 3.8\)
2. Simplify \(\frac{7}{10} = 0.7\)
3. Add the values: \(3.8 + 0.7 = 4.5\)

So, [tex]\(\frac{19}{5} + \frac{7}{10} = 4.5\)[/tex]
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