To find out what fraction of the jar are red and blue marbles, add \(\displaystyle \frac{12}{25}\) and \(\displaystyle \frac{1}{5}\) together.

First, you need to convert the fractions so that they have the same denominator. Since \(\displaystyle 25\) is a multiple of \(\displaystyle 5\), you only need to change one fraction.

\(\displaystyle \frac{1}{5}=\frac{5}{25}\)

Now, add the fractions together.

\(\displaystyle \frac{12}{25}+\frac{1}{5}=\frac{12}{25}+\frac{5}{25}=\frac{17}{25}\)

To find how much sugar he used in total, add \(\displaystyle \frac{1}{13}\) and \(\displaystyle \frac{3}{26}\) together.

First, make sure that both fractions have the same denominator before you add them. Since \(\displaystyle 26\) is a multiple of \(\displaystyle 13\), you will need to convert \(\displaystyle \frac{1}{13}\) into \(\displaystyle \frac{2}{26}\) by multiplying both numerator and denominators by \(\displaystyle 2\).

Now, add the fractions.

\(\displaystyle \frac{1}{13}+\frac{3}{26}=\frac{2}{26}+\frac{3}{26}=\frac{5}{26}\)

You will need to add together \(\displaystyle \frac{1}{10}\) and \(\displaystyle \frac{1}{2}\).

Since \(\displaystyle 10\) is a multiple of \(\displaystyle 2\), we can use \(\displaystyle 10\) as the common denominator.

Then, \(\displaystyle \frac{1}{2}=\frac{5}{10}\)

\(\displaystyle \frac{1}{10}+\frac{1}{2}=\frac{1}{10}+\frac{5}{10}=\frac{6}{10}=\frac{3}{5}\)

To figure out how much cake Michael ate, you will need to add the two fractions given in the question.

First, find the common denominator of both fractions and convert them so that they have that denominator.

\(\displaystyle \frac{5}{8}=\frac{15}{24}\)

\(\displaystyle \frac{1}{6}=\frac{4}{24}\)

Now, add the fractions.

\(\displaystyle \frac{5}{8}+\frac{1}{6}=\frac{15}{24}+\frac{4}{24}=\frac{19}{24}\)

Add the fractions together. In order to do so, you will need to convert \(\displaystyle \frac{1}{5}\) so that it shares the same denominator as \(\displaystyle \frac{29}{100}\).

\(\displaystyle \frac{1}{5}=\frac{20}{100}\)

Now, add the fractions.

\(\displaystyle \frac{1}{5}+\frac{29}{100}=\frac{20}{100}+\frac{29}{100}=\frac{49}{100}\)

Since the denominators for the fractions are the same, keep the denominator and add the numerators.

\(\displaystyle \frac{2}{13}+\frac{4}{13}=\frac{2+4}{13}=\frac{6}{13}\)

To find how much time Jeremy spends doing his homework and his chores, add together \(\displaystyle \frac{1}{5}\) and \(\displaystyle \frac{1}{4}\).

First, convert both fractions so that they have the same denominator.

\(\displaystyle \frac{1}{5}=\frac{4}{20}\)

\(\displaystyle \frac{1}{4}=\frac{5}{20}\)

Now, you can add the fractions together.

\(\displaystyle \frac{1}{5}+\frac{1}{4}=\frac{4}{20}+\frac{5}{20}=\frac{9}{20}\)

In order to add the fractions, you need to first find a common denominator. For \(\displaystyle 10\) and \(\displaystyle 4\), the least common denominator is \(\displaystyle 20\).

\(\displaystyle \frac{3}{4}=\frac{15}{20}\)

\(\displaystyle \frac{1}{10}=\frac{2}{20}\)

Then,

\(\displaystyle \frac{3}{4}+\frac{1}{10}=\frac{15}{20}+\frac{2}{20}=\frac{17}{20}\)

The reciprocal of a number is the quotient of 1 and that number. Divide 1 by 0.8 by moving the decimal point to the right in each number one place:

\(\displaystyle 1 \div 0.8 = 10 \div 8 = 1.25\)

The reciprocal of a number is the quotient of 1 and the number.

Divide 1 by 0.75 by moving the decimal point to the right in each number two places:

\(\displaystyle 1 \div 0.75 = 100 \div 75 = 1 \frac{25}{75} = 1 \frac{1}{3}\)