Solve +7.0/45*frac{2{15}-10.5}=6-10.5

$$\frac { + 7.0 } { 45 \times \frac { 2 } { 15 } - 10.5 } = 6 - 10.5$$

Verify

Solution Steps

Express 45\times \frac{2}{15} as a single fraction.

$$\frac{7}{\frac{45\times 2}{15}-10.5}=6-10.5$$

Multiply 45 and 2 to get 90.

$$\frac{7}{\frac{90}{15}-10.5}=6-10.5$$

Divide 90 by 15 to get 6.

$$\frac{7}{6-10.5}=6-10.5$$

Subtract 10.5 from 6 to get -4.5.

$$\frac{7}{-4.5}=6-10.5$$

Expand \frac{7}{-4.5} by multiplying both numerator and the denominator by 10.

$$\frac{70}{-45}=6-10.5$$

Reduce the fraction \frac{70}{-45} to lowest terms by extracting and canceling out 5.

$$-\frac{14}{9}=6-10.5$$

Subtract 10.5 from 6 to get -4.5.

$$-\frac{14}{9}=-4.5$$

Convert decimal number -4.5 to fraction -\frac{45}{10}. Reduce the fraction -\frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{14}{9}=-\frac{9}{2}$$

Least common multiple of 9 and 2 is 18. Convert -\frac{14}{9} and -\frac{9}{2} to fractions with denominator 18.

$$-\frac{28}{18}=-\frac{81}{18}$$

Compare -\frac{28}{18} and -\frac{81}{18}.

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