Solve 4/5+6*2/7-1

$$\frac { 4 } { 5 } + 6 \cdot \frac { 2 } { 7 } - 1$$

Evaluate

$$\frac{53}{35}\approx 1.514285714$$

Solution Steps

Express 6\times \frac{2}{7} as a single fraction.

$$\frac{4}{5}+\frac{6\times 2}{7}-1$$

Multiply 6 and 2 to get 12.

$$\frac{4}{5}+\frac{12}{7}-1$$

Least common multiple of 5 and 7 is 35. Convert \frac{4}{5} and \frac{12}{7} to fractions with denominator 35.

$$\frac{28}{35}+\frac{60}{35}-1$$

Since \frac{28}{35} and \frac{60}{35} have the same denominator, add them by adding their numerators.

$$\frac{28+60}{35}-1$$

Add 28 and 60 to get 88.

$$\frac{88}{35}-1$$

Convert 1 to fraction \frac{35}{35}.

$$\frac{88}{35}-\frac{35}{35}$$

Since \frac{88}{35} and \frac{35}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-35}{35}$$

Subtract 35 from 88 to get 53.

$$\frac{53}{35}$$

Factor

$$\frac{53}{5 \cdot 7} = 1\frac{18}{35} = 1.5142857142857142$$