What is 1/2 (78+314) ?

The solution to 1/2 (78+314) is 196

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1/2 (78+314)

\frac{1}{2} (78 + 314)

196

Solution steps

\frac{1}{2} (78 + 314)

Follow the PEMDAS order of operations

Calculate within parentheses

(78 + 314) : 392

78 + 314

78 + 314 = 392

= 392

= \frac{1}{2} \cdot 392

Multiply and divide (left to right)

\frac{1}{2} \cdot 392 : 196

\frac{1}{2} \cdot 392

Convert element to fraction:

392 = \frac{392}{1}

= \frac{1}{2} \cdot \frac{392}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 392}{2 \cdot 1}

\frac{1 \cdot 392}{2 \cdot 1} = 196

\frac{1 \cdot 392}{2 \cdot 1}

\frac{1 \cdot 392}{2 \cdot 1} = \frac{392}{2}

\frac{1 \cdot 392}{2 \cdot 1}

Multiply the numbers:

1 \cdot 392 = 392

= \frac{392}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{392}{2}

= \frac{392}{2}

Divide the numbers:

\frac{392}{2} = 196

= 196

= 196

= 196

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