Solve 143/143-frac{39{143}}

$$\frac{ 143 }{ 143- \frac{ 39 }{ 143 } }$$

Evaluate

$$\frac{1573}{1570}\approx 1.001910828$$

Solution Steps

Reduce the fraction \frac{39}{143} to lowest terms by extracting and canceling out 13.

$$\frac{143}{143-\frac{3}{11}}$$

Convert 143 to fraction \frac{1573}{11}.

$$\frac{143}{\frac{1573}{11}-\frac{3}{11}}$$

Since \frac{1573}{11} and \frac{3}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{143}{\frac{1573-3}{11}}$$

Subtract 3 from 1573 to get 1570.

$$\frac{143}{\frac{1570}{11}}$$

Divide 143 by \frac{1570}{11} by multiplying 143 by the reciprocal of \frac{1570}{11}.

$$143\times \frac{11}{1570}$$

Express 143\times \frac{11}{1570} as a single fraction.

$$\frac{143\times 11}{1570}$$

Multiply 143 and 11 to get 1573.

$$\frac{1573}{1570}$$

Factor

$$\frac{11 ^ {2} \cdot 13}{2 \cdot 5 \cdot 157} = 1\frac{3}{1570} = 1.0019108280254778$$