Solve 6.5+11/6-4.8

$$6.5+1 \frac{ 1 }{ 6 } -4.8$$

Evaluate

$$\frac{43}{15}\approx 2.866666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$6.5+\frac{6+1}{6}-4.8$$

Add 6 and 1 to get 7.

$$6.5+\frac{7}{6}-4.8$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}+\frac{7}{6}-4.8$$

Least common multiple of 2 and 6 is 6. Convert \frac{13}{2} and \frac{7}{6} to fractions with denominator 6.

$$\frac{39}{6}+\frac{7}{6}-4.8$$

Since \frac{39}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{39+7}{6}-4.8$$

Add 39 and 7 to get 46.

$$\frac{46}{6}-4.8$$

Reduce the fraction \frac{46}{6} to lowest terms by extracting and canceling out 2.

$$\frac{23}{3}-4.8$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{23}{3}-\frac{24}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{24}{5} to fractions with denominator 15.

$$\frac{115}{15}-\frac{72}{15}$$

Since \frac{115}{15} and \frac{72}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-72}{15}$$

Subtract 72 from 115 to get 43.

$$\frac{43}{15}$$

Factor

$$\frac{43}{3 \cdot 5} = 2\frac{13}{15} = 2.8666666666666667$$