# Adding Tenth and Hundredth — Let's Practise!

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## Basics on the topicAdding Tenth and Hundredth — Let's Practise!

### TranscriptAdding Tenth and Hundredth — Let's Practise!

Razzi says get these items ready because today we're going to practise adding tenths and hundredths. It's time to begin! Solve thirty-five hundredths plus three tenths. Pause the video to work on the problem and press play when you are ready to see the solution! We need the denominators to be the same to add. Start by converting three tenths. Multiply the numerator and denominator by ten to get thirty hundredths. We now know that our answer will have the same denominator. Thirty-five plus thirty equals sixty-five. Did you also get sixty-five hundredths? Let's tackle the next problem! Solve three hundredths plus five tenths. Pause the video to work on the problem and press play when you are ready to see the solution! We need the denominators to be the same to add. Start by converting five tenths. Multiply the numerator and denominator by ten to get fifty hundredths. Then, write one hundred as the denominator in the answer. Three plus fifty equals fifty-three. Did you also get fifty-three hundredths? Let's tackle the final problem! Solve thirty hundredths plus two tenths. This time, convert thirty hundredths to tenths! Pause the video to work on the problem and press play when you are ready to see the solution! Start by converting thirty hundredths to tenths. Divide the numerator and denominator by ten to get three tenths. Therefore, this time, ten will be the denominator in the answer. Three plus two equals five. Five tenths can be simplified to one half! Did you also get five tenths or one half? Razzi had so much fun practising with you today! See you next time!

## Adding Tenth and Hundredth — Let's Practise! exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Adding Tenth and Hundredth — Let's Practise!.
• ### Identify the expressions that are equivalent.

Hints

To compare the expressions, you must first create like-denominators.

The fractions, $\frac{55}{100}$ and $\frac{3}{100}$ share like denominators. The fractions, $\frac{55}{100}$ and $\frac{3}{10}$ do not.

Solution

When you add tenths and hundredths, you need to first make sure the denominators are the same. By multiplying the numerator and the denominator of $\frac{3}{10}$ you make $\frac{30}{100}$, which you can then add to $\frac{35}{100}$. The same applies with $\frac{5}{10}$, $\frac{3}{10}$, and $\frac{4}{10}$.

• $\frac{3}{10}$ x 10 = $\frac{30}{100}$ = $\frac{35}{100}$ + $\frac{30}{100}$
• $\frac{5}{10}$ x 10 = $\frac{50}{100}$ = $\frac{3}{100}$ + $\frac{50}{100}$
• $\frac{6}{10}$ x 10 = $\frac{60}{100}$ = $\frac{60}{100}$ + $\frac{2}{100}$
• $\frac{4}{10}$ x 10 = $\frac{40}{100}$ = $\frac{40}{100}$ + $\frac{45}{100}$
• ### Can you answer the questions?

Hints

To compare the expressions, you must first create like-denominators.

$\frac{30}{100}$ would become $\frac{3}{10}$, which we could then add to $\frac{2}{10}$.

The fractions, $\frac{55}{100}$ and $\frac{3}{100}$ share like denominators. The fractions, $\frac{55}{100}$ and $\frac{3}{10}$ do not.

When creating like denominators don't forget to divide or multiply the numerator as well!

Once you have converted one fraction in the equation, add the numerators to find the answer.

Solution
1. $\frac{50}{100}$ ÷ 10 = $\frac{5}{10}$. We can then add this to $\frac{3}{10}$ to get $\frac{8}{10}$.
2. $\frac{20}{100}$ ÷ 10 = $\frac{2}{10}$. We can then add this to $\frac{5}{10}$ to get $\frac{7}{10}$.
3. $\frac{40}{100}$ ÷ 10 = $\frac{4}{10}$. We can then add this to $\frac{5}{10}$ to get $\frac{9}{10}$.
4. $\frac{10}{100}$ ÷ 10 = $\frac{1}{10}$. We can then add this to $\frac{5}{10}$ to get $\frac{6}{10}$.
• ### Solve the equations.

Hints

Use a pencil and paper to help you keep track of the steps.

With the equation, $\frac{35}{100}$ + $\frac{3}{10}$, and $\frac{3}{100}$ + $\frac{5}{10}$, it is easiest to multiply to create common denominators.

With the equation, $\frac{30}{100}$ + $\frac{2}{10}$, it is easiest to divide to create common denominators.

Solution
• $\frac{35}{100}$ + $\frac{3}{10}$ = $\frac{35}{100}$ + $\frac{30}{100}$ = $\frac{65}{100}$
• $\frac{3}{100}$ + $\frac{5}{10}$ = $\frac{3}{100}$ + $\frac{50}{100}$ = $\frac{53}{100}$
• $\frac{30}{100}$ + $\frac{2}{10}$ = $\frac{3}{10}$ + $\frac{2}{10}$ = $\frac{5}{10}$ or $\frac{30}{100}$ + $\frac{2}{10}$ = $\frac{30}{100}$ + $\frac{20}{100}$ = $\frac{50}{100}$
• ### What is $\frac{40}{100}$ + $\frac{4}{10}$?

Hints

First, divide the numerator and denominator of $\frac{40}{100}$ and fill in the new addition equation.

As an example, the answer to this equation is $\frac{5}{10}$, which can be simplified to $\frac{1}{2}$ by dividing both the numerator and denominator by 5.

Solution

$\frac{40}{100}$ + $\frac{4}{10}$ = $\mathbf{\frac{4}{10}}$ + $\mathbf{\frac{4}{10}}$ = $\mathbf{\frac{8}{10}}$ = $\mathbf{\frac{4}{5}}$

If we divide the numerator and denominator of $\frac{8}{10}$ by 2, we get $\mathbf{\frac{4}{5}}$.

Alternatively

$\frac{40}{100}$ + $\frac{4}{10}$ = $\mathbf{\frac{40}{100}}$ + $\mathbf{\frac{40}{100}}$ = $\mathbf{\frac{80}{100}}$ = $\mathbf{\frac{4}{5}}$

If we divide the numerator and denominator of $\frac{80}{100}$ by 20, we get $\mathbf{\frac{4}{5}}$.

• ### What is $\frac{7}{10}$ + $\frac{8}{100}$?

Hints

Always remember to multiply both the numerator (above) and denominator (below) by the same number.

We first need to convert $\frac{7}{10}$ to hundredths by multiplying the numerator and denominator by 10.

$\frac{7}{10}$ = $\frac{70}{100}$

Now we can add $\frac{70}{100}$ + $\frac{8}{100}$

Solution

$\frac{7}{10}$ + $\frac{8}{100}$ = $\mathbf{\frac{70}{100}}$ + $\frac{8}{100}$ = $\mathbf{\frac{78}{100}}$

• ### Solve the equations.

Hints

To answer the equations, first convert one so that both fractions in the equation have common denominators.

Remember to simplify as many times as necessary.

For example, $\frac{40}{100}$ can be simplified to $\frac{2}{5}$ by dividing both the numerator and denominator by 20.

Solution
• $\frac{20}{100}$ + $\frac{5}{10}$ = $\frac{2}{10}$ + $\frac{5}{10}$ = $\frac{7}{10}$ or $\frac{20}{100}$ + $\frac{5}{10}$ = $\frac{20}{100}$ + $\frac{50}{100}$ = $\frac{7}{10}$
• $\frac{30}{100}$ + $\frac{2}{10}$ = $\frac{3}{10}$ + $\frac{2}{10}$ = $\frac{5}{10}$ = $\frac{1}{2}$ or $\frac{30}{100}$ + $\frac{2}{10}$ = $\frac{30}{100}$ + $\frac{20}{100}$ = $\frac{50}{100}$ = $\frac{1}{2}$
• $\frac{3}{10}$ + $\frac{50}{100}$ = $\frac{3}{10}$ + $\frac{5}{10}$ = $\frac{8}{10}$ = $\frac{4}{5}$ or $\frac{3}{10}$ + $\frac{50}{100}$ = $\frac{30}{100}$ + $\frac{50}{100}$ = $\frac{80}{100}$ = $\frac{4}{5}$
• $\frac{4}{10}$ + $\frac{20}{100}$ = $\frac{4}{10}$ + $\frac{2}{10}$ = $\frac{6}{10}$ = $\frac{3}{5}$ or $\frac{4}{10}$ + $\frac{20}{100}$ = $\frac{40}{100}$ + $\frac{20}{100}$ = $\frac{60}{100}$ = $\frac{3}{5}$