Solve (4+74):42+152-1

$$( 4 + 74 ) : 42 + 152 - 1$$

Evaluate

$$\frac{1070}{7}\approx 152.857142857$$

Solution Steps

Add 4 and 74 to get 78.

$$\frac{78}{42}+152-1$$

Reduce the fraction \frac{78}{42} to lowest terms by extracting and canceling out 6.

$$\frac{13}{7}+152-1$$

Convert 152 to fraction \frac{1064}{7}.

$$\frac{13}{7}+\frac{1064}{7}-1$$

Since \frac{13}{7} and \frac{1064}{7} have the same denominator, add them by adding their numerators.

$$\frac{13+1064}{7}-1$$

Add 13 and 1064 to get 1077.

$$\frac{1077}{7}-1$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{1077}{7}-\frac{7}{7}$$

Since \frac{1077}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1077-7}{7}$$

Subtract 7 from 1077 to get 1070.

$$\frac{1070}{7}$$

Factor

$$\frac{2 \cdot 5 \cdot 107}{7} = 152\frac{6}{7} = 152.85714285714286$$