What is 6-16(121/256) ?

The solution to 6-16(121/256) is -25/16

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6-16(121/256)

6 - 16 (\frac{121}{256})

- \frac{25}{16}

Solution steps

6 - 16 (\frac{121}{256})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

16 (\frac{121}{256}) : \frac{121}{16}

16 (\frac{121}{256})

Apply rule:

(a) = a

(\frac{121}{256}) = \frac{121}{256}

= 16 \cdot \frac{121}{256}

16 \cdot \frac{121}{256} = \frac{121}{16}

16 \cdot \frac{121}{256}

Convert element to fraction:

16 = \frac{16}{1}

= \frac{16}{1} \cdot \frac{121}{256}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{16 \cdot 121}{1 \cdot 256}

\frac{16 \cdot 121}{1 \cdot 256} = \frac{121}{16}

\frac{16 \cdot 121}{1 \cdot 256}

Multiply the numbers:

1 \cdot 256 = 256

= \frac{16 \cdot 121}{256}

Factor the number:

256 = 16 \cdot 16

= \frac{16 \cdot 121}{16 \cdot 16}

Cancel the common factor:

16

= \frac{121}{16}

= \frac{121}{16}

= \frac{121}{16}

= 6 - \frac{121}{16}

Add and subtract (left to right)

6 - \frac{121}{16} : - \frac{25}{16}

6 - \frac{121}{16}

6 - \frac{121}{16} = - \frac{25}{16}

6 - \frac{121}{16}

Convert element to fraction:

6 = \frac{6 \cdot 16}{16}

= \frac{6 \cdot 16}{16} - \frac{121}{16}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{6 \cdot 16 - 121}{16}

6 \cdot 16 - 121 = - 25

6 \cdot 16 - 121

Multiply the numbers:

6 \cdot 16 = 96

= 96 - 121

Subtract the numbers:

96 - 121 = - 25

= - 25

= \frac{- 25}{16}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{25}{16}

= - \frac{25}{16}

= - \frac{25}{16}

7 - 3 (1)

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

3 - (- 1)^{2}

7 (3 - 1) - 3 [1 - 2 (2)] - 2 (4 + 1) (2 + 1)

- 3 + 4 \times 3 + 6 - 1 \times (8 - 9) + 8^{2}