Solve 123/30+413/20

$$1 \frac { 23 } { 30 } + 4 \frac { 13 } { 20 }$$

Evaluate

$$\frac{77}{12}\approx 6.416666667$$

Solution Steps

Multiply 1 and 30 to get 30.

$$\frac{30+23}{30}+\frac{4\times 20+13}{20}$$

Add 30 and 23 to get 53.

$$\frac{53}{30}+\frac{4\times 20+13}{20}$$

Multiply 4 and 20 to get 80.

$$\frac{53}{30}+\frac{80+13}{20}$$

Add 80 and 13 to get 93.

$$\frac{53}{30}+\frac{93}{20}$$

Least common multiple of 30 and 20 is 60. Convert \frac{53}{30} and \frac{93}{20} to fractions with denominator 60.

$$\frac{106}{60}+\frac{279}{60}$$

Since \frac{106}{60} and \frac{279}{60} have the same denominator, add them by adding their numerators.

$$\frac{106+279}{60}$$

Add 106 and 279 to get 385.

$$\frac{385}{60}$$

Reduce the fraction \frac{385}{60} to lowest terms by extracting and canceling out 5.

$$\frac{77}{12}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6.416666666666667$$