Add: 8 3/4 + 5 1/4 + 5 1/2 + 6

Convert to Improper Fractions: Convert all mixed numbers to improper fractions for easier addition. 8 3/4 = (8×4 + 3)/4 = 35/4 5 1/4 = (5×4 + 1)/4 = 21/4 5 1/2 = (5×2 + 1)/2 = 11/2 6 = 6/1 = 24/4Add Improper Fractions: Add all the improper fractions together. Since the denominators of 35/4, 21/4, and 24/4 are the same (4), add them directly: 35/4 + 21/4 + 24/4 = 80/4 Now add 11/2, convert it to have a denominator of 4: 11/2 = 22/4 80/4 + 22/4 = 102/4Simplify Final Fraction: Simplify the final fraction. 102/4 = 25.5

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Math Problems

Grade 6

Evaluate numerical expressions involving whole numbers

Full solution

Q. Add:

8\frac{3}{4} + 5\frac{1}{4} + 5\frac{1}{2} + 6

Convert to Improper Fractions: Convert all mixed numbers to improper fractions for easier addition. $\newline$ $8 \frac{3}{4} = (8\times4 + 3)/4 = \frac{35}{4}$ $\newline$ $5 \frac{1}{4} = (5\times4 + 1)/4 = \frac{21}{4}$ $\newline$ $5 \frac{1}{2} = (5\times2 + 1)/2 = \frac{11}{2}$ $\newline$ $6 = \frac{6}{1} = \frac{24}{4}$
Add Improper Fractions: Add all the improper fractions together. $\newline$ Since the denominators of $\frac{35}{4}$ , $\frac{21}{4}$ , and $\frac{24}{4}$ are the same ( $4$ ), add them directly: $\newline$ $\frac{35}{4} + \frac{21}{4} + \frac{24}{4} = \frac{80}{4}$ $\newline$ Now add $\frac{11}{2}$ , convert it to have a denominator of $4$ : $\newline$ $\frac{11}{2} = \frac{22}{4}$ $\newline$ $\frac{80}{4} + \frac{22}{4} = \frac{102}{4}$
Simplify Final Fraction: Simplify the final fraction. $\frac{102}{4} = 25.5$