Simplify. (2)/(3)c-(1)/(5)c

Identify Variable: Identify the common variable in both terms. In this case, the variable is 'c'.Find Common Denominator: Find a common denominator for the fractions to combine them. The denominators are 3 and 5, so the common denominator is 3 * 5 = 15.Convert to Common Denominator: Convert each fraction to have the common denominator of 15. This means multiplying the numerator and denominator of each fraction by the necessary factor to make the denominator 15. For the first fraction, (2/3)c, multiply by 5/5 to get (10/15)c. For the second fraction, (1/5)c, multiply by 3/3 to get (3/15)c.Rewrite with New Fractions: Rewrite the expression with the new fractions. The expression now is (10/15)c - (3/15)c.Subtract Numerators: Subtract the numerators of the fractions and keep the common denominator. This gives us (10 - 3)/15 * c, which simplifies to (7/15)c.Write Final Expression: Write the final simplified expression. The simplified expression is (7/15)c.

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Simplify. $\newline$ $\frac{2}{3} c-\frac{1}{5} c$

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Math Problems

Algebra 2

Solve a system of equations using elimination

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Q. Simplify.

\newline

\frac{2}{3} c-\frac{1}{5} c

Identify Variable: Identify the common variable in both terms. In this case, the variable is $c$ .
Find Common Denominator: Find a common denominator for the fractions to combine them. The denominators are $3$ and $5$ , so the common denominator is $3 \times 5 = 15$ .
Convert to Common Denominator: Convert each fraction to have the common denominator of $15$ . This means multiplying the numerator and denominator of each fraction by the necessary factor to make the denominator $15$ . For the first fraction, $\frac{2}{3}c$ , multiply by $\frac{5}{5}$ to get $\frac{10}{15}c$ . For the second fraction, $\frac{1}{5}c$ , multiply by $\frac{3}{3}$ to get $\frac{3}{15}c$ .
Rewrite with New Fractions: Rewrite the expression with the new fractions. The expression now is $(\frac{10}{15})c - (\frac{3}{15})c$ .
Subtract Numerators: Subtract the numerators of the fractions and keep the common denominator. This gives us $(10 - 3)/15 \times c$ , which simplifies to $(7/15)c$ .
Write Final Expression: Write the final simplified expression. The simplified expression is $(\frac{7}{15})c$ .