What is (12)/(12^2+16^2) ?

The solution to (12)/(12^2+16^2) is 3/100

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(12)/(12^2+16^2)

\frac{12}{1 2 ^{2} + 1 6 ^{2}}

\frac{3}{100}

Solution steps

\frac{12}{1 2 ^{2} + 1 6 ^{2}}

Solve

1 2^{2} + 1 6^{2} : 400

Follow the PEMDAS order of operations

Calculate exponents

1 2^{2} : 144

1 2^{2}

1 2^{2} = 144

= 144

= 144 + 1 6^{2}

Calculate exponents

1 6^{2} : 256

1 6^{2}

1 6^{2} = 256

= 256

= 144 + 256

Add and subtract (left to right)

144 + 256 : 400

144 + 256

144 + 256 = 400

= 400

= 400

= \frac{12}{400}

Cancel the common factor:

4

= \frac{3}{100}

5 + 6 - 6

2 \times [(71 + 6) \div 11 + 7]

\frac{5}{9} (90 - 32)

1 4^{2} + 3^{2}

8 \div 2 (3 + 2)