Question

math buzz
use the rule to write the next five numbers in the pattern.
rule: subtract 50
1,635, _, _, _, _, _
compare using >, <, or =
\frac{1}{2} \bigcirc \frac{2}{3}
\frac{3}{4} \bigcirc \frac{7}{12}
\frac{6}{8} \bigcirc \frac{5}{6}
circle the polygons.
the recipe below shows the ingredients needed to make chocolate fudge brownies.
chocolate fudge brownies
\frac{1}{2} cup butter
\frac{1}{3} cup cocoa powder
1 cup white sugar
\frac{1}{2} cup flour
2 eggs
\frac{1}{4} teaspoon salt
1 teaspoon vanilla
\frac{1}{4} teaspoon baking powder
how many cups of flour and cocoa powder are needed combined? simplify if possible.
answer: _
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Explanation:

Step1: Find the amount of flour and cocoa powder

The amount of cocoa powder is $\frac{1}{3}$ cup and the amount of flour is $\frac{1}{2}$ cup.

Step2: Add the two fractions

To add $\frac{1}{3}$ and $\frac{1}{2}$, find a common denominator. The least common denominator of 3 and 2 is 6.
$$\frac{1}{3}+\frac{1}{2}=\frac{1\times2}{3\times2}+\frac{1\times3}{2\times3}=\frac{2}{6}+\frac{3}{6}$$

Step3: Calculate the sum

$$\frac{2}{6}+\frac{3}{6}=\frac{2 + 3}{6}=\frac{5}{6}$$

Answer:

$\frac{5}{6}$ cup