What is (31\times 3+1)/(78\times 3+1) ?

The solution to (31\times 3+1)/(78\times 3+1) is 2/5

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(31\times 3+1)/(78\times 3+1)

\frac{31 \cdot 3 + 1}{78 \cdot 3 + 1}

\frac{2}{5}

Solution steps

\frac{31 \cdot 3 + 1}{78 \cdot 3 + 1}

Solve

31 \cdot 3 + 1 : 94

Follow the PEMDAS order of operations

Multiply and divide (left to right)

31 \cdot 3 : 93

31 \cdot 3

31 \cdot 3 = 93

= 93

= 93 + 1

Add and subtract (left to right)

93 + 1 : 94

93 + 1

93 + 1 = 94

= 94

= 94

Solve

78 \cdot 3 + 1 : 235

Follow the PEMDAS order of operations

Multiply and divide (left to right)

78 \cdot 3 : 234

78 \cdot 3

78 \cdot 3 = 234

= 234

= 234 + 1

Add and subtract (left to right)

234 + 1 : 235

234 + 1

234 + 1 = 235

= 235

= 235

= \frac{94}{235}

Cancel the common factor:

47

= \frac{2}{5}

\frac{5}{4} \div (\frac{1}{3} + \frac{1}{6})

- (5) + (- 4) - (3) + (5) - (- 9) - (8)

1 1^{3} + 1 1^{3}

(- 10)^{0} - 0^{10}

2 \times 21 + 10

What is (31\times 3+1)/(78\times 3+1) ?
The solution to (31\times 3+1)/(78\times 3+1) is 2/5