Question

numbers unit test

1. evaluate.

a) $\frac{1}{3} + \frac{1}{4}$ b) $\frac{7}{8} - \frac{2}{4}$
c) $5 \times \frac{5}{7} =$

1. create a factor tree for the numbers below.

81 120

1. a hen named betty lays 6 eggs in 8 days. another hen named doris lays 12 eggs in 15 days. which hen lays eggs at a faster rate? show your thinking.

good work!

Explanation:

8a)

Step1: Find a common denominator.

The common denominator of 3 and 4 is 12. So we rewrite the fractions: $\frac{1}{3} = \frac{4}{12}$ and $\frac{1}{4} = \frac{3}{12}$.

Step2: Add the fractions.

$\frac{4}{12} + \frac{3}{12} = \frac{4 + 3}{12} = \frac{7}{12}$.

Step1: Find a common denominator.

The common denominator of 8 and 4 is 8. Rewrite $\frac{2}{4}$ as $\frac{4}{8}$.

Step2: Subtract the fractions.

$\frac{7}{8} - \frac{4}{8} = \frac{7 - 4}{8} = \frac{3}{8}$.

Step1: Multiply the integer by the numerator.

$5 \times \frac{5}{7} = \frac{5 \times 5}{7}$.

Step2: Calculate the numerator.

$5 \times 5 = 25$, so the result is $\frac{25}{7}$.

Answer:

$\frac{7}{12}$

8b)