Solve (0.98-0.13/1.29+0.8-0.13/1+0.89-0.13/1.15)div3=

$$( \frac { 0.98 - 0.13 } { 1.29 } + \frac { 0.8 - 0.13 } { 1 } + \frac { 0.89 - 0.13 } { 1.15 } ) \div 3 =$$

Evaluate

$$\frac{590369}{890100}\approx 0.663261431$$

Solution Steps

Subtract 0.13 from 0.98 to get 0.85.

$$\frac{\frac{0.85}{1.29}+\frac{0.8-0.13}{1}+\frac{0.89-0.13}{1.15}}{3}$$

Expand \frac{0.85}{1.29} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{85}{129}+\frac{0.8-0.13}{1}+\frac{0.89-0.13}{1.15}}{3}$$

Subtract 0.13 from 0.8 to get 0.67.

$$\frac{\frac{85}{129}+\frac{0.67}{1}+\frac{0.89-0.13}{1.15}}{3}$$

Anything divided by one gives itself.

$$\frac{\frac{85}{129}+0.67+\frac{0.89-0.13}{1.15}}{3}$$

Convert decimal number 0.67 to fraction \frac{67}{100}.

$$\frac{\frac{85}{129}+\frac{67}{100}+\frac{0.89-0.13}{1.15}}{3}$$

Least common multiple of 129 and 100 is 12900. Convert \frac{85}{129} and \frac{67}{100} to fractions with denominator 12900.

$$\frac{\frac{8500}{12900}+\frac{8643}{12900}+\frac{0.89-0.13}{1.15}}{3}$$

Since \frac{8500}{12900} and \frac{8643}{12900} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8500+8643}{12900}+\frac{0.89-0.13}{1.15}}{3}$$

Add 8500 and 8643 to get 17143.

$$\frac{\frac{17143}{12900}+\frac{0.89-0.13}{1.15}}{3}$$

Subtract 0.13 from 0.89 to get 0.76.

$$\frac{\frac{17143}{12900}+\frac{0.76}{1.15}}{3}$$

Expand \frac{0.76}{1.15} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{17143}{12900}+\frac{76}{115}}{3}$$

Least common multiple of 12900 and 115 is 296700. Convert \frac{17143}{12900} and \frac{76}{115} to fractions with denominator 296700.

$$\frac{\frac{394289}{296700}+\frac{196080}{296700}}{3}$$

Since \frac{394289}{296700} and \frac{196080}{296700} have the same denominator, add them by adding their numerators.

$$\frac{\frac{394289+196080}{296700}}{3}$$

Add 394289 and 196080 to get 590369.

$$\frac{\frac{590369}{296700}}{3}$$

Express \frac{\frac{590369}{296700}}{3} as a single fraction.

$$\frac{590369}{296700\times 3}$$

Multiply 296700 and 3 to get 890100.

$$\frac{590369}{890100}$$

Factor

$$\frac{13 \cdot 45413}{23 \cdot 43 \cdot 2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.6632614312998539$$