Solve 37:59/38:12

$$37 : 59 / 38 : 12$$

Evaluate

$$\frac{703}{354}\approx 1.985875706$$

Solution Steps

Express \frac{\frac{37}{\frac{59}{38}}}{12} as a single fraction.

$$\frac{37}{\frac{59}{38}\times 12}$$

Express \frac{59}{38}\times 12 as a single fraction.

$$\frac{37}{\frac{59\times 12}{38}}$$

Multiply 59 and 12 to get 708.

$$\frac{37}{\frac{708}{38}}$$

Reduce the fraction \frac{708}{38} to lowest terms by extracting and canceling out 2.

$$\frac{37}{\frac{354}{19}}$$

Divide 37 by \frac{354}{19} by multiplying 37 by the reciprocal of \frac{354}{19}.

$$37\times \frac{19}{354}$$

Express 37\times \frac{19}{354} as a single fraction.

$$\frac{37\times 19}{354}$$

Multiply 37 and 19 to get 703.

$$\frac{703}{354}$$

Factor

$$\frac{19 \cdot 37}{2 \cdot 3 \cdot 59} = 1\frac{349}{354} = 1.9858757062146892$$