Solve 2.67(1+9.8%)/1.77

$$\frac { 2.67 ( 1 + 9.8 \% ) } { 1.77 }$$

Evaluate

$$\frac{48861}{29500}\approx 1.656305085$$

Solution Steps

Expand \frac{9.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{2.67\left(1+\frac{98}{1000}\right)}{1.77}$$

Reduce the fraction \frac{98}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{2.67\left(1+\frac{49}{500}\right)}{1.77}$$

Convert 1 to fraction \frac{500}{500}.

$$\frac{2.67\left(\frac{500}{500}+\frac{49}{500}\right)}{1.77}$$

Since \frac{500}{500} and \frac{49}{500} have the same denominator, add them by adding their numerators.

$$\frac{2.67\times \frac{500+49}{500}}{1.77}$$

Add 500 and 49 to get 549.

$$\frac{2.67\times \frac{549}{500}}{1.77}$$

Convert decimal number 2.67 to fraction \frac{267}{100}.

$$\frac{\frac{267}{100}\times \frac{549}{500}}{1.77}$$

Multiply \frac{267}{100} times \frac{549}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{267\times 549}{100\times 500}}{1.77}$$

Do the multiplications in the fraction \frac{267\times 549}{100\times 500}.

$$\frac{\frac{146583}{50000}}{1.77}$$

Express \frac{\frac{146583}{50000}}{1.77} as a single fraction.

$$\frac{146583}{50000\times 1.77}$$

Multiply 50000 and 1.77 to get 88500.

$$\frac{146583}{88500}$$

Reduce the fraction \frac{146583}{88500} to lowest terms by extracting and canceling out 3.

$$\frac{48861}{29500}$$

Factor

$$\frac{61 \cdot 89 \cdot 3 ^ {2}}{59 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 1\frac{19361}{29500} = 1.6563050847457628$$