Solve 7/4*7/1-10/7

$$\frac{ 7 }{ 4 } \times \frac{ 7 }{ 1 } - \frac{ 10 }{ 7 }$$

Evaluate

$$\frac{303}{28}\approx 10.821428571$$

Solution Steps

Anything divided by one gives itself.

$$\frac{7}{4}\times 7-\frac{10}{7}$$

Express \frac{7}{4}\times 7 as a single fraction.

$$\frac{7\times 7}{4}-\frac{10}{7}$$

Multiply 7 and 7 to get 49.

$$\frac{49}{4}-\frac{10}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{49}{4} and \frac{10}{7} to fractions with denominator 28.

$$\frac{343}{28}-\frac{40}{28}$$

Since \frac{343}{28} and \frac{40}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{343-40}{28}$$

Subtract 40 from 343 to get 303.

$$\frac{303}{28}$$

Factor

$$\frac{3 \cdot 101}{2 ^ {2} \cdot 7} = 10\frac{23}{28} = 10.821428571428571$$