solve and reduce to lowest terms: the accounts payable clerk needs to file invoices and asks 2 of his co…

solve and reduce to lowest terms: the accounts payable clerk needs to file invoices and asks 2 of his co - workers to help him. he gives $\frac{2}{5}$ of the filling to one coworker, $\frac{5}{3}$ of the filling to another coworker and files $\frac{9}{3}$ of the invoices himself. what is the total amount of the invoices filled? $\frac{2}{5}+\frac{5}{3}+\frac{9}{3}=?$ 2/5 + 5/3 + 9/3 2x3 + 5x5 + 9x5 5x3 + 3x5 + 3x5 = 6/15 + 25/15 + 40/15 = 71/15 = 4 11/15

solve and reduce to lowest terms: the accounts payable clerk needs to file invoices and asks 2 of his co - workers to help him. he gives $\frac{2}{5}$ of the filling to one coworker, $\frac{5}{3}$ of the filling to another coworker and files $\frac{9}{3}$ of the invoices himself. what is the total amount of the invoices filled? $\frac{2}{5}+\frac{5}{3}+\frac{9}{3}=?$ 2/5 + 5/3 + 9/3 2x3 + 5x5 + 9x5 5x3 + 3x5 + 3x5 = 6/15 + 25/15 + 40/15 = 71/15 = 4 11/15

Answer

Explanation:

Step1: Find common denominator

The common - denominator of 5 and 3 is 15.

Step2: Rewrite fractions with common denominator

$\frac{2}{5}=\frac{2\times3}{5\times3}=\frac{6}{15}$, $\frac{5}{3}=\frac{5\times5}{3\times5}=\frac{25}{15}$, $\frac{9}{3}=\frac{9\times5}{3\times5}=\frac{45}{15}$

Step3: Add the fractions

$\frac{6}{15}+\frac{25}{15}+\frac{45}{15}=\frac{6 + 25+45}{15}=\frac{76}{15}=5\frac{1}{15}$

Answer:

$\frac{76}{15}$ or $5\frac{1}{15}$