Question

22/10 --------- + 3 3/5 37/144

Answer 1

Ответ:

$\frac{ \frac{22}{10} }{ \frac{37}{144} } + 3 \frac{3}{5} = \frac{22}{10} \times \frac{144}{37} + 3 \frac{3}{5} = \frac{1584}{185} + \frac{18}{5} = \frac{45}{ 37} = 12 \frac{6}{37}$

Answer 2

To add the fractions $\frac{22}{10}$, $\frac{3}{5}$, and $\frac{37}{144}$ together, follow these steps:

Step 1: Convert any mixed numbers to improper fractions.

$\frac{22}{10}$ is already in improper fraction form.

$\frac{3}{5}$ is already in proper fraction form.

To convert $3 \frac{37}{144}$ to an improper fraction:

$3 \frac{37}{144} = \frac{(3 \cdot 144) + 37}{144} = \frac{432 + 37}{144} = \frac{469}{144}$.

Step 2: Find a common denominator for all the fractions. In this case, the least common multiple (LCM) of 10, 5, and 144 is 720.

Step 3: Rewrite each fraction with the common denominator of 720.

$\frac{22}{10}$ becomes $\frac{(22 \cdot 72)}{(10 \cdot 72)} = \frac{1584}{720}$.

$\frac{3}{5}$ becomes $\frac{(3 \cdot 144)}{(5 \cdot 144)} = \frac{432}{720}$.

$\frac{469}{144}$ is already in the common denominator form $\frac{469}{144}$.

Step 4: Add the fractions together.

$\frac{1584}{720} + \frac{432}{720} + \frac{469}{144}$.

Step 5: Add the numerators together while keeping the common denominator.

$\frac{1584 + 432 + 469}{720}$.

Step 6: Simplify the numerator if possible.

$\frac{2485}{720}$.

Step 7: Reduce the fraction to its simplest form.

To simplify $\frac{2485}{720}$, find the greatest common divisor (GCD) of 2485 and 720, which is 5. Divide both the numerator and denominator by 5.

$\frac{2485 \div 5}{720 \div 5} = \frac{497}{144}$.

So, $\frac{22}{10} + \frac{3}{5} + \frac{37}{144} = \frac{497}{144}$.