What is 1 3/4-2+(-4 3/4) ?

The solution to 1 3/4-2+(-4 3/4) is -5

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1 3/4-2+(-4 3/4)

1 \frac{3}{4} - 2 + (- 4 \frac{3}{4})

- 5

Solution steps

1 \frac{3}{4} - 2 + (- 4 \frac{3}{4})

Convert mixed numbers to improper fractions:

1 \frac{3}{4} = \frac{7}{4}

= \frac{7}{4} - 2 + (- 4 \frac{3}{4})

Convert mixed numbers to improper fractions:

4 \frac{3}{4} = \frac{19}{4}

= \frac{7}{4} - 2 + (- \frac{19}{4})

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{7}{4} - 2 + (- \frac{19}{4}) : - 5

= - 5

8 - (- (- 9 - 8) + (- 2 + 7)) - (- 3 + 8)

- (- 3)^{2} - 6 (- 3) + 1

3 (- 1)^{2} - 2 (- 1) + 1

16 + (2 \cdot 256)

- 180 (1 - \frac{10}{50})