Question

Add or subtract as indicated. Write answers in lowest terms as needed. 318+2143\frac{1}{8} + 2\frac{1}{4}

Accepted Answer

First, convert the mixed numbers to improper fractions. For 3(1/8), multiply the whole number 3 by the denominator 8 and add the numerator 1: $$3 	imes 8 + 1 = 25$$, so $$3(1/8) = \frac{25}{8}. $$For 2(1/4), multiply 2 by 4 and add 1: $$2 	imes 4 + 1 = 9$$, so $$2(1/4) = \frac{9}{4}. $$Next, find a common denominator for the fractions $$\frac{25}{8}$$ and $$\frac{9}{4}. $$The denominators are 8 and 4, and the least common denominator (LCD) is 8. Rewrite $$\frac{9}{4}$$ with the denominator 8 by multiplying both numerator and denominator by 2: $$\frac{9 	imes 2}{4 	imes 2} = \frac{18}{8}. $$Now, add the two fractions with the common denominator: $$\frac{25}{8} + \frac{18}{8} = \frac{25 + 18}{8} = \frac{43}{8}. $$Finally, convert the improper fraction $$\frac{43}{8}$$ back to a mixed number by dividing 43 by 8. The quotient is the whole number part, and the remainder over 8 is the fractional part.

Add or subtract as indicated. Write answers in lowest terms as needed. $3 and one eighth plus 2 and one fourth$

Verified video answer for a similar problem:

Key Concepts

Mixed Numbers

Adding Fractions

Simplifying Fractions

Add or subtract as indicated. Write answers in lowest terms as needed. 318+2143\(\frac{1}{8}\) + 2\(\frac{1}{4}\)