Solve 74/7-41/1

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

Evaluate

$$\frac{18}{7}\approx 2.571428571$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+4}{7}-\frac{4\times 1+1}{1}$$

Add 49 and 4 to get 53.

$$\frac{53}{7}-\frac{4\times 1+1}{1}$$

Multiply 4 and 1 to get 4.

$$\frac{53}{7}-\frac{4+1}{1}$$

Add 4 and 1 to get 5.

$$\frac{53}{7}-\frac{5}{1}$$

Anything divided by one gives itself.

$$\frac{53}{7}-5$$

Convert 5 to fraction \frac{35}{7}.

$$\frac{53}{7}-\frac{35}{7}$$

Since \frac{53}{7} and \frac{35}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53-35}{7}$$

Subtract 35 from 53 to get 18.

$$\frac{18}{7}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{7} = 2\frac{4}{7} = 2.5714285714285716$$