Solve 0.211/0.34=1*10^-5*2*0.086/1.6*10^-3*60*0.0955

$$\frac { 0.211 } { 0.34 } = \frac { 1 \times 10 ^ { - 5 } \times 2 \times 0.086 } { 1.6 \times 10 ^ { - 3 } \times 60 \times 0.0955 }$$

Verify

Solution Steps

Expand \frac{0.211}{0.34} by multiplying both numerator and the denominator by 1000.

$$\frac{211}{340}=\frac{1\times 10^{-5}\times 2\times 0.086}{1.6\times 10^{-3}\times 60\times 0.0955}$$

Cancel out 2 in both numerator and denominator.

$$\frac{211}{340}=\frac{0.086\times 10^{-5}}{0.0955\times 1.6\times 30\times 10^{-3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{211}{340}=\frac{0.086}{0.0955\times 1.6\times 30\times 10^{2}}$$

Multiply 0.0955 and 1.6 to get 0.1528.

$$\frac{211}{340}=\frac{0.086}{0.1528\times 30\times 10^{2}}$$

Multiply 0.1528 and 30 to get 4.584.

$$\frac{211}{340}=\frac{0.086}{4.584\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{211}{340}=\frac{0.086}{4.584\times 100}$$

Multiply 4.584 and 100 to get 458.4.

$$\frac{211}{340}=\frac{0.086}{458.4}$$

Expand \frac{0.086}{458.4} by multiplying both numerator and the denominator by 1000.

$$\frac{211}{340}=\frac{86}{458400}$$

Reduce the fraction \frac{86}{458400} to lowest terms by extracting and canceling out 2.

$$\frac{211}{340}=\frac{43}{229200}$$

Least common multiple of 340 and 229200 is 3896400. Convert \frac{211}{340} and \frac{43}{229200} to fractions with denominator 3896400.

$$\frac{2418060}{3896400}=\frac{731}{3896400}$$

Compare \frac{2418060}{3896400} and \frac{731}{3896400}.

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