What is 473\times 15+522\div 14\times 91 ?

The solution to 473\times 15+522\div 14\times 91 is 10488

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473\times 15+522\div 14\times 91

473 \times 15 + 522 \div 14 \times 91

10488

Solution steps

473 \times 15 + 522 \div 14 \times 91

Follow the PEMDAS order of operations

Multiply and divide (left to right)

473 \times 15 : 7095

473 \times 15

473 \times 15 = 7095

= 7095

= 7095 + 522 \div 14 \times 91

Multiply and divide (left to right)

522 \div 14 \times 91 : 3393

522 \div 14 \times 91

522 \div 14 = \frac{522}{14}

= \frac{522}{14} \times 91

\frac{522}{14} \times 91 = 3393

\frac{522}{14} \cdot 91

Cancel

\frac{522}{14} : \frac{261}{7}

\frac{522}{14}

Factor the number:

522 = 2 \cdot 261

= \frac{2 \cdot 261}{14}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 261}{2 \cdot 7}

Cancel the common factor:

2

= \frac{261}{7}

= \frac{261}{7} \cdot 91

\frac{261}{7} \cdot 91 = 3393

\frac{261}{7} \cdot 91

Convert element to fraction:

91 = \frac{91}{1}

= \frac{261}{7} \cdot \frac{91}{1}

Apply the fraction rule:

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

= \frac{261 \cdot 91}{7 \cdot 1}

Cancel

\frac{261 \cdot 91}{7 \cdot 1} : 3393

\frac{261 \cdot 91}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{261 \cdot 91}{7}

Divide the numbers:

\frac{91}{7} = 13

= 261 \cdot 13

Multiply the numbers:

261 \cdot 13 = 3393

= 3393

= 3393

= 3393

= 3393

= 7095 + 3393

Add and subtract (left to right)

7095 + 3393 : 10488

7095 + 3393

7095 + 3393 = 10488

= 10488

= 10488

2 \cdot 2^{2} - 8 \cdot 2 + 3

\frac{1}{2} (- 5)^{2} - 4

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

\frac{2}{3} (3) + 2

- 1 \div 4 + 4

What is 473\times 15+522\div 14\times 91 ?
The solution to 473\times 15+522\div 14\times 91 is 10488