Solve 7.2/1+frac{1{273}*(-36)}

$$\frac{ 7.2 }{ 1+ \frac{ 1 }{ 273 } \times (-36) }$$

Evaluate

$$\frac{3276}{395}\approx 8.293670886$$

Solution Steps

Multiply \frac{1}{273} and -36 to get \frac{-36}{273}.

$$\frac{7.2}{1+\frac{-36}{273}}$$

Reduce the fraction \frac{-36}{273} to lowest terms by extracting and canceling out 3.

$$\frac{7.2}{1-\frac{12}{91}}$$

Convert 1 to fraction \frac{91}{91}.

$$\frac{7.2}{\frac{91}{91}-\frac{12}{91}}$$

Since \frac{91}{91} and \frac{12}{91} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7.2}{\frac{91-12}{91}}$$

Subtract 12 from 91 to get 79.

$$\frac{7.2}{\frac{79}{91}}$$

Divide 7.2 by \frac{79}{91} by multiplying 7.2 by the reciprocal of \frac{79}{91}.

$$7.2\times \frac{91}{79}$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{5}\times \frac{91}{79}$$

Multiply \frac{36}{5} times \frac{91}{79} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 91}{5\times 79}$$

Do the multiplications in the fraction \frac{36\times 91}{5\times 79}.

$$\frac{3276}{395}$$

Factor

$$\frac{7 \cdot 13 \cdot 2 ^ {2} \cdot 3 ^ {2}}{5 \cdot 79} = 8\frac{116}{395} = 8.29367088607595$$