Solve 473/16-419/32=

$$47 \frac { 3 } { 16 } - 41 \frac { 9 } { 32 } =$$

Evaluate

$$\frac{189}{32}=5.90625$$

Solution Steps

Multiply 47 and 16 to get 752.

$$\frac{752+3}{16}-\frac{41\times 32+9}{32}$$

Add 752 and 3 to get 755.

$$\frac{755}{16}-\frac{41\times 32+9}{32}$$

Multiply 41 and 32 to get 1312.

$$\frac{755}{16}-\frac{1312+9}{32}$$

Add 1312 and 9 to get 1321.

$$\frac{755}{16}-\frac{1321}{32}$$

Least common multiple of 16 and 32 is 32. Convert \frac{755}{16} and \frac{1321}{32} to fractions with denominator 32.

$$\frac{1510}{32}-\frac{1321}{32}$$

Since \frac{1510}{32} and \frac{1321}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1510-1321}{32}$$

Subtract 1321 from 1510 to get 189.

$$\frac{189}{32}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {5}} = 5\frac{29}{32} = 5.90625$$