Examples with solutions for Comparing Decimal Fractions: Worded problems

Exercise #1

A grandfather gives one grandson

£42.5 \pounds42.5 and another grandson £32.4 \pounds32.4 .

How much does the grandfather give to his two grandsons in total?

Video Solution

Step-by-Step Solution

In order to determine how much money the grandfather gave to the two grandchildren, we will add the money he gave to each one:

42.5+32.4 42.5\\+32.4

We will add from right to left as follows:

74.9 74.9

Answer

£74.9 \pounds74.9

Exercise #2

Jazmin spends 4.3 4.3 dollars on cucumbers and 5.1 5.1 dollars on tomatoes.

How much does she spend in total?

Video Solution

Step-by-Step Solution

To work out how much Jazmin pays in total, we must add the cost of cucumbers and the cost of tomatoes together:

4.3+5.1 4.3\\+5.1

This gives us the answer:

9.4 9.4

Answer

9.4 9.4

Exercise #3

Jacob's mother gives him \( 1.5 and his brother Patrick \( 3.2 .

How much does she give to Jacob and Patrick in total?

Video Solution

Step-by-Step Solution

In order to determine the total amount that the mother gave Jacob and Patrick, we'll add the numbers vertically as follows:

1.5+3.2 1.5\\+3.2

We'll add from right to left accordingly and obtain the following:

4.7 4.7

Answer

4.7 4.7

Exercise #4

Andy goes on a three-day trip.

On day one, he travels 1.2 1.2 km.

On day two, he travels 2.1 2.1 km.

On day three, he travels 1.7 1.7 km.


How many kilometres does Andy travel in total over the three days?

Video Solution

Step-by-Step Solution

To work out how many kilometres Andy walks in total, we need to add up the distances he walks each day in the following manner:

1.2+2.1+1.7 1.2\\+2.1\\+1.7

First we will add the digits after the decimal point accordingly:

2+1+7=10 2+1+7=10

Since these add up to 10, we can replace the tenths digit with a 0 and add a units digit to the number.

Now, simply add up the units digits of the number (the original digits before the decimal place plus our new one):

1+1+2+1=5 1+1+2+1=5

In total, Andy walks 5 km (5.0 km).

Answer

5 5

Exercise #5

If Ivan has 4 4 coins; each with a value of 10 10 cents and 7 7 coins; each with a value of 5 5 cents.

How much money does Ivan have in total?

Step-by-Step Solution

First, let's calculate the value of 4 coins 4×10=40 4\times10=40

Since one dollar has a value of 100 cents , 40 cents equals 0.4 dollars

Now let's calculate the value of 7 coins each with a value of 5 cents:

7×5=35 7\times5=35

Since one dollar has a value of 100 cents, 35 cents equals 0.35 dollars

Finally, let's add the amounts together:

0.4+0.35=0.75 0.4+0.35=0.75

Ivan has a total of 0.75 shekels

Answer

0.75 0.75

Exercise #6

Gerard goes on a two-day hike.

On the first day, he walks 19.2 19.2 km and on the second day he walks 22.6 22.6 km.

How many kilometers does Gerard walk in total?

Video Solution

Step-by-Step Solution

To calculate how many km Gerard walked in two days, we'll add up the number of kilometers he walked each day vertically as follows:

19.2+22.6 19.2\\+22.6

We'll add from left to right as follows:

41.8 41.8

Answer

41.8 41.8

Exercise #7

Noah bought apples for 11.3 11.3 dollars and grapes for 16.1 16.1 dollars.

How much did Noah pay in total?

Video Solution

Step-by-Step Solution

In order to determine how much Noah paid in total, we'll add the cost of apples with the cost of grapes in the following manner:

11.3+16.1 11.3\\+16.1

We'll add from left to right as follows:

27.4 27.4

Answer

\( 27.4

Exercise #8

A father gives his son Nicolas 4.5 4.5 dollars and his son Daniel 8.2 8.2 dollars.

How much does he give to Nicolas and Daniel in total?

Video Solution

Step-by-Step Solution

In order to determine how much money the father gave to Nicolas and Daniel, we'll add up the various amounts of money in the vertical format as follows:

4.5+8.2 4.5\\+8.2

We'll add from right to left as follows:

12.7 12.7

Answer

\( 12.7

Exercise #9

Chris buys apples costing £10.30 \pounds10.30 and grapes that cost £17.10 \pounds17.10 .

How much does Chris pay in total?

Video Solution

Step-by-Step Solution

To work out how much Chris pays in total, we need to add the cost of the apples to the cost of the grapes as follows:

10.3+17.1 10.3\\+17.1

This gives us the answer:

27.4 27.4

Answer

£27.40 \pounds27.40

Exercise #10

A father gives his son Nicolas \( 4.7 and his son Daniel \( 8.1 .

How much does he give his sons in total?

Video Solution

Step-by-Step Solution

In order to determine how much money the father gave to Daniel and Nicolas, we'll add up the various amounts in the vertical format as follows:

4.7+8.1 4.7\\+8.1

We'll add from left to right as follows:

12.8 12.8

Answer

\( 12.8

Exercise #11

Jorge spends \( 7.3 on pomegranates and \( 6.4 on bananas.

How much does Jorge pay in total?

Video Solution

Step-by-Step Solution

In order to determine how much Jorge paid, let's begin by adding together the cost of both the bananas and the pomegranates:

7.3+6.4 7.3\\+6.4

Adding from right to left we should obtain the following:

13.7 13.7

Answer

\( 13.7