Solve 31/2-37/10+2.1=19/10

$$3 \frac { 1 } { 2 } - \frac { 37 } { 10 } + 2.1 = 1 \frac { 9 } { 10 }$$

Verify

Solution Steps

Multiply both sides of the equation by 10, the least common multiple of 2,10.

$$5\left(3\times 2+1\right)-37+21=1\times 10+9$$

Multiply 3 and 2 to get 6.

$$5\left(6+1\right)-37+21=1\times 10+9$$

Add 6 and 1 to get 7.

$$5\times 7-37+21=1\times 10+9$$

Multiply 5 and 7 to get 35.

$$35-37+21=1\times 10+9$$

Subtract 37 from 35 to get -2.

$$-2+21=1\times 10+9$$

Add -2 and 21 to get 19.

$$19=1\times 10+9$$

Multiply 1 and 10 to get 10.

$$19=10+9$$

Add 10 and 9 to get 19.

$$19=19$$

Compare 19 and 19.

$$\text{true}$$