Question

for problems 12-15, add or subtract.

1. \\(\frac{1}{4}+\frac{1}{4}\\)
2. \\(\frac{1}{5}+\frac{3}{5}\\)
3. \\(\frac{8}{9}-\frac{3}{9}\\)
4. \\(\frac{9}{10}-\frac{4}{10}\\)
5. a book is \\(\frac{5}{8}\\) inches thick. how many copies of the book fit on a shelf that is 20 inches long?
6. which is greater, 5% of 90 or 90% of 5? explain.

Explanation:

Problem 12: $\boldsymbol{\frac{1}{4} + \frac{1}{4}}$

Step1: Add numerators (same denominator)

For fractions with the same denominator, we add the numerators and keep the denominator. So, $\frac{1 + 1}{4}$.

Step2: Simplify the numerator

$1 + 1 = 2$, so we have $\frac{2}{4}$.

Step3: Reduce the fraction

Divide numerator and denominator by 2: $\frac{2\div2}{4\div2} = \frac{1}{2}$.

Step1: Add numerators (same denominator)

Add the numerators: $\frac{1 + 3}{5}$.

Step2: Simplify the numerator

$1 + 3 = 4$, so $\frac{4}{5}$.

Step1: Subtract numerators (same denominator)

Subtract the numerators: $\frac{8 - 3}{9}$.

Step2: Simplify the numerator

$8 - 3 = 5$, so $\frac{5}{9}$.

Answer:

$\frac{1}{2}$

Problem 13: $\boldsymbol{\frac{1}{5} + \frac{3}{5}}$