What is 1/2 \times 1+3 ?

The solution to 1/2 \times 1+3 is 3 1/2

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1/2 \times 1+3

\frac{1}{2} \cdot 1 + 3

3 \frac{1}{2}

Solution steps

\frac{1}{2} \cdot 1 + 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{2} \cdot 1 : \frac{1}{2}

\frac{1}{2} \cdot 1

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

= \frac{1}{2}

= \frac{1}{2} + 3

Add and subtract (left to right)

\frac{1}{2} + 3 : \frac{7}{2}

\frac{1}{2} + 3

\frac{1}{2} + 3 = \frac{7}{2}

\frac{1}{2} + 3

Convert element to fraction:

3 = \frac{3 \cdot 2}{2}

= \frac{3 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 2 + 1}{2}

3 \cdot 2 + 1 = 7

3 \cdot 2 + 1

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 1

Add the numbers:

6 + 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

\frac{7}{2} = 3

Remainder

1

\frac{7}{2}

Write the problem in long division format

2 \overline{∣ 7}

Divide

7

2

to get

3

Divide

7

2

to get

3

3 2 \overline{∣ 7}

Multiply the quotient digit

(3)

by the divisor

2

3 2 \overline{∣ 7} \underline{6}

Subtract

6

from

7

3 2 \overline{∣ 7} \underline{6} 1

3 2 \overline{∣ 7} \underline{6} 1

The solution for Long Division of

\frac{7}{2}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

= 3 \frac{1}{2}

(8 + 2^{4}) \div 6

3 (5 - (- 2)^{2}) - 4

\frac{1}{2} \times 1 - 1

- 14 \times (- 15) \div (- 21)

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