What is 38^2-17^2\div 47^2-361 ?

The solution to 38^2-17^2\div 47^2-361 is 1082 1920/2209

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38^2-17^2\div 47^2-361

3 8^{2} - 1 7^{2} \div 4 7^{2} - 361

1082 \frac{1920}{2209}

Solution steps

3 8^{2} - 1 7^{2} \div 4 7^{2} - 361

Follow the PEMDAS order of operations

Calculate exponents

3 8^{2} : 1444

= 1444 - 1 7^{2} \div 4 7^{2} - 361

Calculate exponents

1 7^{2} : 289

= 1444 - 289 \div 4 7^{2} - 361

Calculate exponents

4 7^{2} : 2209

= 1444 - 289 \div 2209 - 361

Multiply and divide (left to right)

289 \div 2209 : \frac{289}{2209}

= 1444 - \frac{289}{2209} - 361

Add and subtract (left to right)

1444 - \frac{289}{2209} - 361 : \frac{2392058}{2209}

= \frac{2392058}{2209}

Convert improper fractions to mixed numbers:

\frac{2392058}{2209} = 1082 \frac{1920}{2209}

= 1082 \frac{1920}{2209}

28 + 7 \times (- 5)

- 5 - (- 2 + 3 - 1)

4 \times (1 \div 12)

3 - [4 (2 + 1) - (3 + 2)]

(50 - 20) - (30 + 20) + 8 - 38

What is 38^2-17^2\div 47^2-361 ?
The solution to 38^2-17^2\div 47^2-361 is 1082 1920/2209