What is 22/7 \times 14^2 ?

The solution to 22/7 \times 14^2 is 616

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22/7 \times 14^2

\frac{22}{7} \cdot 1 4^{2}

616

Solution steps

\frac{22}{7} \cdot 1 4^{2}

Follow the PEMDAS order of operations

Calculate exponents

1 4^{2} : 196

1 4^{2}

1 4^{2} = 196

= 196

= \frac{22}{7} \cdot 196

Multiply and divide (left to right)

\frac{22}{7} \cdot 196 : 616

\frac{22}{7} \cdot 196

Convert element to fraction:

196 = \frac{196}{1}

= \frac{22}{7} \cdot \frac{196}{1}

Apply the fraction rule:

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

= \frac{22 \cdot 196}{7 \cdot 1}

Cancel

\frac{22 \cdot 196}{7 \cdot 1} : 616

\frac{22 \cdot 196}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{22 \cdot 196}{7}

Divide the numbers:

\frac{196}{7} = 28

= 22 \cdot 28

Multiply the numbers:

22 \cdot 28 = 616

= 616

= 616

= 616

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