What is 2 1/4-2+1/4 ?

The solution to 2 1/4-2+1/4 is 1/2

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2 1/4-2+1/4

2 \frac{1}{4} - 2 + \frac{1}{4}

\frac{1}{2}

Solution steps

2 \frac{1}{4} - 2 + \frac{1}{4}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

2 \frac{1}{4}

Convert mixed numbers to improper fraction:

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

2 \frac{1}{4} = \frac{2 \cdot 4 + 1}{4}

= \frac{9}{4}

= \frac{9}{4} - 2 + \frac{1}{4}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{9}{4} - 2 + \frac{1}{4} : \frac{1}{2}

\frac{9}{4} - 2 + \frac{1}{4}

\frac{9}{4} - 2 = \frac{1}{4}

\frac{9}{4} - 2

Convert element to fraction:

2 = \frac{2 \cdot 4}{4}

= - \frac{2 \cdot 4}{4} + \frac{9}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 4 + 9}{4}

- 2 \cdot 4 + 9 = 1

- 2 \cdot 4 + 9

Multiply the numbers:

2 \cdot 4 = 8

= - 8 + 9

Add/Subtract the numbers:

- 8 + 9 = 1

= 1

= \frac{1}{4}

= \frac{1}{4} + \frac{1}{4}

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

\frac{1}{4} + \frac{1}{4}

Apply rule

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

= \frac{1 + 1}{4}

Add the numbers:

1 + 1 = 2

= \frac{2}{4}

Cancel the common factor:

2

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

9 \cdot 5 - 30

2 \times 3^{2} + (3 \times 2)^{2}

2^{6} \cdot 2^{2} \div 9^{2}

- [- 11 + (- 5 - 6)] \times (- 4)

(104 + 4 \cdot 2) + 19 - 109 + 56 \div 7