Solve 6*1*10^-8/10^-4=-262/2*303*8344(1/600-1/7)

$$\frac { 6 \cdot 1 \times 10 ^ { - 8 } } { 10 ^ { - 4 } } = \frac { - 262 } { 2 \cdot 303 \times 8344 } ( \frac { 1 } { 600 } - \frac { 1 } { 7 } )$$

Verify

Solution Steps

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

$$\frac{6}{10^{4}}=\frac{-262}{2\times 303\times 8344}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{6}{10000}=\frac{-262}{2\times 303\times 8344}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Reduce the fraction \frac{6}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5000}=\frac{-262}{2\times 303\times 8344}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Multiply 2 and 303 to get 606.

$$\frac{3}{5000}=\frac{-262}{606\times 8344}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Multiply 606 and 8344 to get 5056464.

$$\frac{3}{5000}=\frac{-262}{5056464}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Reduce the fraction \frac{-262}{5056464} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5000}=-\frac{131}{2528232}\left(\frac{1}{600}-\frac{1}{7}\right)$$

Subtract \frac{1}{7} from \frac{1}{600} to get -\frac{593}{4200}.

$$\frac{3}{5000}=-\frac{131}{2528232}\left(-\frac{593}{4200}\right)$$

Multiply -\frac{131}{2528232} and -\frac{593}{4200} to get \frac{77683}{10618574400}.

$$\frac{3}{5000}=\frac{77683}{10618574400}$$

Least common multiple of 5000 and 10618574400 is 265464360000. Convert \frac{3}{5000} and \frac{77683}{10618574400} to fractions with denominator 265464360000.

$$\frac{159278616}{265464360000}=\frac{1942075}{265464360000}$$

Compare \frac{159278616}{265464360000} and \frac{1942075}{265464360000}.

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