Solve 6.3+7/10*2/3=

$$6.3 + \frac { 7 } { 10 } \times \frac { 2 } { 3 } =$$

Evaluate

$$\frac{203}{30}\approx 6.766666667$$

Solution Steps

Multiply \frac{7}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$6.3+\frac{7\times 2}{10\times 3}$$

Do the multiplications in the fraction \frac{7\times 2}{10\times 3}.

$$6.3+\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$6.3+\frac{7}{15}$$

Convert decimal number 6.3 to fraction \frac{63}{10}.

$$\frac{63}{10}+\frac{7}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{63}{10} and \frac{7}{15} to fractions with denominator 30.

$$\frac{189}{30}+\frac{14}{30}$$

Since \frac{189}{30} and \frac{14}{30} have the same denominator, add them by adding their numerators.

$$\frac{189+14}{30}$$

Add 189 and 14 to get 203.

$$\frac{203}{30}$$

Factor

$$\frac{7 \cdot 29}{2 \cdot 3 \cdot 5} = 6\frac{23}{30} = 6.766666666666667$$