Solve 0.77777+0.7777+0.777+0.77+0.7+0.074/90

$$0.77777 + 0.7777 + 0.777 + 0.77 + 0.7 + 0.07 \frac { 4 } { 90 }$$

Evaluate

$$\frac{3525223}{900000}\approx 3.916914444$$

Solution Steps

Add 0.77777 and 0.7777 to get 1.55547.

$$1.55547+0.777+0.77+0.7+\frac{0.07\times 90+4}{90}$$

Add 1.55547 and 0.777 to get 2.33247.

$$2.33247+0.77+0.7+\frac{0.07\times 90+4}{90}$$

Add 2.33247 and 0.77 to get 3.10247.

$$3.10247+0.7+\frac{0.07\times 90+4}{90}$$

Add 3.10247 and 0.7 to get 3.80247.

$$3.80247+\frac{0.07\times 90+4}{90}$$

Multiply 0.07 and 90 to get 6.3.

$$3.80247+\frac{6.3+4}{90}$$

Add 6.3 and 4 to get 10.3.

$$3.80247+\frac{10.3}{90}$$

Expand \frac{10.3}{90} by multiplying both numerator and the denominator by 10.

$$3.80247+\frac{103}{900}$$

Convert decimal number 3.80247 to fraction \frac{380247}{100000}.

$$\frac{380247}{100000}+\frac{103}{900}$$

Least common multiple of 100000 and 900 is 900000. Convert \frac{380247}{100000} and \frac{103}{900} to fractions with denominator 900000.

$$\frac{3422223}{900000}+\frac{103000}{900000}$$

Since \frac{3422223}{900000} and \frac{103000}{900000} have the same denominator, add them by adding their numerators.

$$\frac{3422223+103000}{900000}$$

Add 3422223 and 103000 to get 3525223.

$$\frac{3525223}{900000}$$

Factor

$$\frac{13 \cdot 373 \cdot 727}{2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {5}} = 3\frac{825223}{900000} = 3.9169144444444446$$