Evaluate (3)/(7)r+(5)/(8)s when r=14 and s=8.

Substitute values into expression: Substitute the given values for r and s into the expression. Expression: (3/7)r + (5/8)s Substitute r = 14 and s = 8. Expression after substitution: (3/7)*14 + (5/8)*8Simplify first term: Simplify the first term (3/7)*14. Divide 14 by 7 and then multiply by 3. (3/7)*14 = 3*(14/7) = 3*2 = 6Simplify second term: Simplify the second term (5/8)*8. Divide 8 by 8 and then multiply by 5. (5/8)*8 = 5*(8/8) = 5*1 = 5Add simplified terms: Add the simplified terms together. Add 6 and 5. 6 + 5 = 11

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Evaluate
(3)/(7)r+(5)/(8)s when
r=14 and
s=8.

Evaluate $\frac{3}{7}r + \frac{5}{8}s$ when $r=14$ and $s=8$ .

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Algebra 1

Evaluate variable expressions involving rational numbers

Full solution

Q. Evaluate

\frac{3}{7}r + \frac{5}{8}s

when

r=14

and

s=8

Substitute values into expression: Substitute the given values for $r$ and $s$ into the expression. $\newline$ Expression: $\left(\frac{$ $3$ }{ $7$ }\right)r + \left(\frac{ $5$ }{ $8$ }\right)s $\newline$ Substitute $r =$ $14$ and $s =$ $8$ . $\newline$ Expression after substitution: $\left(\frac{$ $3$ }{ $7$ }\right)\cdot $14$ + \left(\frac{ $5$ }{ $8$ }\right)\cdot $8$
Simplify first term: Simplify the first term $(\frac{3}{7})\cdot 14$ . $\newline$ Divide $14$ by $7$ and then multiply by $3$ . $\newline$ $(\frac{3}{7})\cdot 14 = 3\cdot(\frac{14}{7}) = 3\cdot 2 = 6$
Simplify second term: Simplify the second term $(\frac{5}{8})\cdot 8$ . $\newline$ Divide $8$ by $8$ and then multiply by $5$ . $\newline$ $(\frac{5}{8})\cdot 8 = 5\cdot(\frac{8}{8}) = 5\cdot 1 = 5$
Add simplified terms: Add the simplified terms together. $\newline$ Add $6$ and $5$ . $\newline$ $6 + 5 = 11$