Solve 36/4.1-7.2text{to}1/3

$$\frac { 36 } { 4.1 } - 7.2 \text { to } \frac { 1 } { 3 }$$

Evaluate

$$-\frac{12ot}{5}+\frac{360}{41}$$

Solution Steps

Expand \frac{36}{4.1} by multiplying both numerator and the denominator by 10.

$$\frac{360}{41}-7.2to\times \frac{1}{3}$$

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.

$$\frac{360}{41}-\frac{36}{5}to\times \frac{1}{3}$$

Multiply \frac{36}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{360}{41}-\frac{36\times 1}{5\times 3}to$$

Do the multiplications in the fraction \frac{36\times 1}{5\times 3}.

$$\frac{360}{41}-\frac{36}{15}to$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$\frac{360}{41}-\frac{12}{5}to$$

Factor

$$-\frac{2.4\left(41ot-150\right)}{41}$$

Solution Steps

Expand \frac{36}{4.1} by multiplying both numerator and the denominator by 10.

$$factor(\frac{360}{41}-7.2to\times \frac{1}{3})$$

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.

$$factor(\frac{360}{41}-\frac{36}{5}to\times \frac{1}{3})$$

Multiply \frac{36}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$factor(\frac{360}{41}-\frac{36\times 1}{5\times 3}to)$$

Do the multiplications in the fraction \frac{36\times 1}{5\times 3}.

$$factor(\frac{360}{41}-\frac{36}{15}to)$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$factor(\frac{360}{41}-\frac{12}{5}to)$$

Factor out \frac{12}{205}.

$$\frac{12\left(150-41to\right)}{205}$$