Solve 2*-4.6=1div2-1div2*7.6-1div2*(-29.4)

$$2 \times -4.6=1 \div 2-1 \div 2 \times 7.6-1 \div 2 \times (-29.4)$$

Verify

Solution Steps

Multiply 2 and -4.6 to get -9.2.

$$-9.2=\frac{1}{2}-\frac{1}{2}\times 7.6-\frac{1}{2}\left(-29.4\right)$$

Convert decimal number 7.6 to fraction \frac{76}{10}. Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.

$$-9.2=\frac{1}{2}-\frac{1}{2}\times \frac{38}{5}-\frac{1}{2}\left(-29.4\right)$$

Multiply \frac{1}{2} times \frac{38}{5} by multiplying numerator times numerator and denominator times denominator.

$$-9.2=\frac{1}{2}-\frac{1\times 38}{2\times 5}-\frac{1}{2}\left(-29.4\right)$$

Do the multiplications in the fraction \frac{1\times 38}{2\times 5}.

$$-9.2=\frac{1}{2}-\frac{38}{10}-\frac{1}{2}\left(-29.4\right)$$

Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$-9.2=\frac{1}{2}-\frac{19}{5}-\frac{1}{2}\left(-29.4\right)$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{19}{5} to fractions with denominator 10.

$$-9.2=\frac{5}{10}-\frac{38}{10}-\frac{1}{2}\left(-29.4\right)$$

Since \frac{5}{10} and \frac{38}{10} have the same denominator, subtract them by subtracting their numerators.

$$-9.2=\frac{5-38}{10}-\frac{1}{2}\left(-29.4\right)$$

Subtract 38 from 5 to get -33.

$$-9.2=-\frac{33}{10}-\frac{1}{2}\left(-29.4\right)$$

Convert decimal number -29.4 to fraction -\frac{294}{10}. Reduce the fraction -\frac{294}{10} to lowest terms by extracting and canceling out 2.

$$-9.2=-\frac{33}{10}-\frac{1}{2}\left(-\frac{147}{5}\right)$$

Multiply \frac{1}{2} times -\frac{147}{5} by multiplying numerator times numerator and denominator times denominator.

$$-9.2=-\frac{33}{10}-\frac{1\left(-147\right)}{2\times 5}$$

Do the multiplications in the fraction \frac{1\left(-147\right)}{2\times 5}.

$$-9.2=-\frac{33}{10}-\frac{-147}{10}$$

Fraction \frac{-147}{10} can be rewritten as -\frac{147}{10} by extracting the negative sign.

$$-9.2=-\frac{33}{10}-\left(-\frac{147}{10}\right)$$

The opposite of -\frac{147}{10} is \frac{147}{10}.

$$-9.2=-\frac{33}{10}+\frac{147}{10}$$

Since -\frac{33}{10} and \frac{147}{10} have the same denominator, add them by adding their numerators.

$$-9.2=\frac{-33+147}{10}$$

Add -33 and 147 to get 114.

$$-9.2=\frac{114}{10}$$

Reduce the fraction \frac{114}{10} to lowest terms by extracting and canceling out 2.

$$-9.2=\frac{57}{5}$$

Convert decimal number -9.2 to fraction -\frac{92}{10}. Reduce the fraction -\frac{92}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{46}{5}=\frac{57}{5}$$

Compare -\frac{46}{5} and \frac{57}{5}.

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