Solve frac{(0.06)^{2}+(0.47)^{2}+(0.079)^2}{(0.006)^2+(0.047)^2+(0.0079)^2}=?

$$\frac { ( 0.06 ) ^ { 2 } + ( 0.47 ) ^ { 2 } + ( 0.079 ) ^ { 2 } } { ( 0.006 ) ^ { 2 } + ( 0.047 ) ^ { 2 } + ( 0.0079 ) ^ { 2 } } = ?$$

Evaluate

$$100$$

Solution Steps

Calculate 0.06 to the power of 2 and get 0.0036.

$$\frac{0.0036+0.47^{2}+0.079^{2}}{0.006^{2}+0.047^{2}+0.0079^{2}}$$

Calculate 0.47 to the power of 2 and get 0.2209.

$$\frac{0.0036+0.2209+0.079^{2}}{0.006^{2}+0.047^{2}+0.0079^{2}}$$

Add 0.0036 and 0.2209 to get 0.2245.

$$\frac{0.2245+0.079^{2}}{0.006^{2}+0.047^{2}+0.0079^{2}}$$

Calculate 0.079 to the power of 2 and get 0.006241.

$$\frac{0.2245+0.006241}{0.006^{2}+0.047^{2}+0.0079^{2}}$$

Add 0.2245 and 0.006241 to get 0.230741.

$$\frac{0.230741}{0.006^{2}+0.047^{2}+0.0079^{2}}$$

Calculate 0.006 to the power of 2 and get 0.000036.

$$\frac{0.230741}{0.000036+0.047^{2}+0.0079^{2}}$$

Calculate 0.047 to the power of 2 and get 0.002209.

$$\frac{0.230741}{0.000036+0.002209+0.0079^{2}}$$

Add 0.000036 and 0.002209 to get 0.002245.

$$\frac{0.230741}{0.002245+0.0079^{2}}$$

Calculate 0.0079 to the power of 2 and get 0.00006241.

$$\frac{0.230741}{0.002245+0.00006241}$$

Add 0.002245 and 0.00006241 to get 0.00230741.

$$\frac{0.230741}{0.00230741}$$

Expand \frac{0.230741}{0.00230741} by multiplying both numerator and the denominator by 100000000.

$$\frac{23074100}{230741}$$

Divide 23074100 by 230741 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$