Solve 12/12-1*0,1*10^6*200=(0,7*10^6/0,1*10^6)1,2-1/12

$$\frac { 12 } { 12 - 1 } \cdot 0,1 \cdot 10 ^ { 6 } \cdot 200 = ( \frac { 0,7 \cdot 10 ^ { 6 } } { 0,1 \cdot 10 ^ { 6 } } ) \frac { 1,2 - 1 } { 12 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12.

$$12\times \frac{12}{12-1}\times 0,1\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Subtract 1 from 12 to get 11.

$$12\times \frac{12}{11}\times 0,1\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Express 12\times \frac{12}{11} as a single fraction.

$$\frac{12\times 12}{11}\times 0,1\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Multiply 12 and 12 to get 144.

$$\frac{144}{11}\times 0,1\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Convert decimal number 0,1 to fraction \frac{1}{10}.

$$\frac{144}{11}\times \frac{1}{10}\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Multiply \frac{144}{11} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{144\times 1}{11\times 10}\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Do the multiplications in the fraction \frac{144\times 1}{11\times 10}.

$$\frac{144}{110}\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Reduce the fraction \frac{144}{110} to lowest terms by extracting and canceling out 2.

$$\frac{72}{55}\times 10^{6}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{72}{55}\times 1000000\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Express \frac{72}{55}\times 1000000 as a single fraction.

$$\frac{72\times 1000000}{55}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Multiply 72 and 1000000 to get 72000000.

$$\frac{72000000}{55}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Reduce the fraction \frac{72000000}{55} to lowest terms by extracting and canceling out 5.

$$\frac{14400000}{11}\times 200=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Express \frac{14400000}{11}\times 200 as a single fraction.

$$\frac{14400000\times 200}{11}=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Multiply 14400000 and 200 to get 2880000000.

$$\frac{2880000000}{11}=\frac{0,7\times 10^{6}}{0,1\times 10^{6}}\left(1,2-1\right)$$

Cancel out 10^{6} in both numerator and denominator.

$$\frac{2880000000}{11}=\frac{0,7}{0,1}\left(1,2-1\right)$$

Expand \frac{0,7}{0,1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$\frac{2880000000}{11}=7\left(1,2-1\right)$$

Subtract 1 from 1,2 to get 0,2.

$$\frac{2880000000}{11}=7\times 0,2$$

Multiply 7 and 0,2 to get 1,4.

$$\frac{2880000000}{11}=1,4$$

Convert decimal number 1,4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2880000000}{11}=\frac{7}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{2880000000}{11} and \frac{7}{5} to fractions with denominator 55.

$$\frac{14400000000}{55}=\frac{77}{55}$$

Compare \frac{14400000000}{55} and \frac{77}{55}.

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