Solve 108+?text{of}1/3+2/5*33/4=101/2

$$108 + ? \text { of } \frac { 1 } { 3 } + \frac { 2 } { 5 } \times 3 \frac { 3 } { 4 } = 10 \frac { 1 } { 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 60, the least common multiple of 3,5,4,2.

$$6480+20+6\left(3\times 4+3\right)=30\left(10\times 2+1\right)$$

Add 6480 and 20 to get 6500.

$$6500+6\left(3\times 4+3\right)=30\left(10\times 2+1\right)$$

Multiply 3 and 4 to get 12.

$$6500+6\left(12+3\right)=30\left(10\times 2+1\right)$$

Add 12 and 3 to get 15.

$$6500+6\times 15=30\left(10\times 2+1\right)$$

Multiply 6 and 15 to get 90.

$$6500+90=30\left(10\times 2+1\right)$$

Add 6500 and 90 to get 6590.

$$6590=30\left(10\times 2+1\right)$$

Multiply 10 and 2 to get 20.

$$6590=30\left(20+1\right)$$

Add 20 and 1 to get 21.

$$6590=30\times 21$$

Multiply 30 and 21 to get 630.

$$6590=630$$

Compare 6590 and 630.

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