Olympiad Test: Decimals And Fractions - 3 - Class 5 MCQ

There are 7 slices of pizza left on the plate out of eight pieces altogether. Therefore, the fraction of pizza shown is 7/8.

The diagram shows 5 slices of pizza left on the plate out of eight slices altogether. So the fraction is 5/8. The numerator is the top number, which is 5.

The denominator is the number on the bottom of the fraction. To get an equivalent fraction with denominator 12, we have to multiply the denominator (3) by 4. Therefore, we also have to multiply the numerator (2) by 4 and we get 8/12.

To find the value in the box, we can set up a proportion and solve for the missing value:

Cross-multiplying gives:

7×box=49×2

7×box=98 

Now, divide both sides by 7

So, the answer is 14.

taking box as a
just cross multiply
20a=5x72
20a=360
a=360/20
a=18

3/5 = a/20
3/5 x 20 =a
12 = a

Divide 8 by 25 : 8÷25=0.32
OR
Make the bottom number some multiple of 10:
We can multiply 25 by 4 to make 100
So multiply top and bottom by 4. You will get 32/100.
Now, Write that fraction as a decimal: Write down 32 with the decimal point 2 spaces from the right (because 100 has 2 zeros): 0.32

Step 1 : There is no way to multiply 9 to become 10 or 100 or any “1 followed by 0s”, but we can calculate an approximate decimal by choosing to multiply by 111.
Step 2 : Multiply top and bottom by 111:
Step 3 : Now, 999 is nearly 1,000, so let us write down 444 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): 0.444 correct to 3 decimal places.

Step 1 : Write down : 0.85 /1 Step
2 : Multiply both top and bottom by 100 (because there were 2 digits after the decimal point).It will become 85 / 100.
Step 3 : Simplify the fraction : 85 and 100 have a common factor 5, so divide top and bottom by 5 and we get 17/20.

To compare the fractions, we need to write each of them as an equivalent fraction with a common denominator i.e. we must find the least common multiple of 36, 9, 6 and 4.
Since 9, 6 and 4 are all factors of 36, the least common multiple is 36 So change them all to equivalent fractions with denominator 36:
7/9 will become 28/36
5/6 will become 30/36
3/4 will become 27/36
Now they all have the same denominator, we just need to find the one with the largest numerator, which is 30. Therefore, 5/6 is the largest fraction.