Solve 10*7/2+7/4*frac{-7{2}}=2

$$\frac{ 10 \times \frac{ 7 }{ 2 } +7 }{ 4 \times \frac{ -7 }{ 2 } } = 2$$

Verify

Solution Steps

Express 10\times \frac{7}{2} as a single fraction.

$$\frac{\frac{10\times 7}{2}+7}{4\times \frac{-7}{2}}=2$$

Multiply 10 and 7 to get 70.

$$\frac{\frac{70}{2}+7}{4\times \frac{-7}{2}}=2$$

Divide 70 by 2 to get 35.

$$\frac{35+7}{4\times \frac{-7}{2}}=2$$

Add 35 and 7 to get 42.

$$\frac{42}{4\times \frac{-7}{2}}=2$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$\frac{42}{4\left(-\frac{7}{2}\right)}=2$$

Express 4\left(-\frac{7}{2}\right) as a single fraction.

$$\frac{42}{\frac{4\left(-7\right)}{2}}=2$$

Multiply 4 and -7 to get -28.

$$\frac{42}{\frac{-28}{2}}=2$$

Divide -28 by 2 to get -14.

$$\frac{42}{-14}=2$$

Divide 42 by -14 to get -3.

$$-3=2$$

Compare -3 and 2.

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