Solve x5/7+3.4div7/15

$$x \frac { 5 } { 7 } + 3.4 \div \frac { 7 } { 15 }$$

Evaluate

$$\frac{5x+51}{7}$$

Solution Steps

Divide 3.4 by \frac{7}{15} by multiplying 3.4 by the reciprocal of \frac{7}{15}.

$$x\times \frac{5}{7}+3.4\times \frac{15}{7}$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$x\times \frac{5}{7}+\frac{17}{5}\times \frac{15}{7}$$

Multiply \frac{17}{5} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{5}{7}+\frac{17\times 15}{5\times 7}$$

Do the multiplications in the fraction \frac{17\times 15}{5\times 7}.

$$x\times \frac{5}{7}+\frac{255}{35}$$

Reduce the fraction \frac{255}{35} to lowest terms by extracting and canceling out 5.

$$x\times \frac{5}{7}+\frac{51}{7}$$

Factor

$$\frac{5x+51}{7}$$

Solution Steps

Divide 3.4 by \frac{7}{15} by multiplying 3.4 by the reciprocal of \frac{7}{15}.

$$factor(x\times \frac{5}{7}+3.4\times \frac{15}{7})$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$factor(x\times \frac{5}{7}+\frac{17}{5}\times \frac{15}{7})$$

Multiply \frac{17}{5} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$factor(x\times \frac{5}{7}+\frac{17\times 15}{5\times 7})$$

Do the multiplications in the fraction \frac{17\times 15}{5\times 7}.

$$factor(x\times \frac{5}{7}+\frac{255}{35})$$

Reduce the fraction \frac{255}{35} to lowest terms by extracting and canceling out 5.

$$factor(x\times \frac{5}{7}+\frac{51}{7})$$

Factor out \frac{1}{7}.

$$\frac{5x+51}{7}$$