Solve 30/210:35/210:42/210

$$\frac { 30 } { 210 } : \frac { 35 } { 210 } : \frac { 42 } { 210 }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Divide \frac{\frac{30}{210}}{\frac{35}{210}} by \frac{42}{210} by multiplying \frac{\frac{30}{210}}{\frac{35}{210}} by the reciprocal of \frac{42}{210}.

$$\frac{\frac{30}{210}\times 210}{\frac{35}{210}\times 42}$$

Reduce the fraction \frac{30}{210} to lowest terms by extracting and canceling out 30.

$$\frac{\frac{1}{7}\times 210}{\frac{35}{210}\times 42}$$

Multiply \frac{1}{7} and 210 to get \frac{210}{7}.

$$\frac{\frac{210}{7}}{\frac{35}{210}\times 42}$$

Divide 210 by 7 to get 30.

$$\frac{30}{\frac{35}{210}\times 42}$$

Reduce the fraction \frac{35}{210} to lowest terms by extracting and canceling out 35.

$$\frac{30}{\frac{1}{6}\times 42}$$

Multiply \frac{1}{6} and 42 to get \frac{42}{6}.

$$\frac{30}{\frac{42}{6}}$$

Divide 42 by 6 to get 7.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$