Solve 2/34=21/3+2/5

$$\frac { 2 } { 34 } = 2 \frac { 1 } { 3 } + \frac { 2 } { 5 }$$

Verify

Solution Steps

Multiply both sides of the equation by 510, the least common multiple of 34,3,5.

$$15\times 2=170\left(2\times 3+1\right)+204$$

Multiply 15 and 2 to get 30.

$$30=170\left(2\times 3+1\right)+204$$

Multiply 2 and 3 to get 6.

$$30=170\left(6+1\right)+204$$

Add 6 and 1 to get 7.

$$30=170\times 7+204$$

Multiply 170 and 7 to get 1190.

$$30=1190+204$$

Add 1190 and 204 to get 1394.

$$30=1394$$

Compare 30 and 1394.

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