Solve (1.4-1.2+17/15)div11/6

$$( 1.4 - 1.2 + 1 \frac { 7 } { 15 } ) \div 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{10}{7}\approx 1.428571429$$

Solution Steps

Subtract 1.2 from 1.4 to get 0.2.

$$\frac{0.2+\frac{1\times 15+7}{15}}{\frac{1\times 6+1}{6}}$$

Multiply 1 and 15 to get 15.

$$\frac{0.2+\frac{15+7}{15}}{\frac{1\times 6+1}{6}}$$

Add 15 and 7 to get 22.

$$\frac{0.2+\frac{22}{15}}{\frac{1\times 6+1}{6}}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{5}+\frac{22}{15}}{\frac{1\times 6+1}{6}}$$

Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{22}{15} to fractions with denominator 15.

$$\frac{\frac{3}{15}+\frac{22}{15}}{\frac{1\times 6+1}{6}}$$

Since \frac{3}{15} and \frac{22}{15} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+22}{15}}{\frac{1\times 6+1}{6}}$$

Add 3 and 22 to get 25.

$$\frac{\frac{25}{15}}{\frac{1\times 6+1}{6}}$$

Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{5}{3}}{\frac{1\times 6+1}{6}}$$

Multiply 1 and 6 to get 6.

$$\frac{\frac{5}{3}}{\frac{6+1}{6}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{5}{3}}{\frac{7}{6}}$$

Divide \frac{5}{3} by \frac{7}{6} by multiplying \frac{5}{3} by the reciprocal of \frac{7}{6}.

$$\frac{5}{3}\times \frac{6}{7}$$

Multiply \frac{5}{3} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{3\times 7}$$

Do the multiplications in the fraction \frac{5\times 6}{3\times 7}.

$$\frac{30}{21}$$

Reduce the fraction \frac{30}{21} to lowest terms by extracting and canceling out 3.

$$\frac{10}{7}$$

Factor

$$\frac{2 \cdot 5}{7} = 1\frac{3}{7} = 1.4285714285714286$$