Fractions

Question 1

What must fractions have in order to be added or subtracted?

Answer 1

A common denominator

If the fractions do not have a common denominator, they cannot be added or subtracted.

Question 2

What is the first step in adding or subtracting fractions?

Answer 2

Find the common denominator

This step is essential before proceeding to add or subtract the numerators.

Question 3

After finding the common denominator, what do you do with the numerators?

Answer 3

Add/Subtract the numerators while keeping the denominators the same

This ensures the fractions are combined correctly.

Question 4

What is the first step to divide fractions?

Answer 4

Keep the first fraction the same

Question 5

How do you multiply fractions?

Answer 5

Multiply the numerators with eachother and multiply the denominators with eachother.

Question 6

What should you replace ‘÷’ with when dividing fractions?

Answer 6

Replace ‘÷’ with ‘x’

Question 7

What is done to the second fraction in the division process?

Answer 7

Flip the second fraction so that the numerator becomes the denominator and vice versa

Question 8

True or False: When dividing fractions, you do not change the first fraction.

Answer 8

True

Question 9

Fill in the blank: To divide fractions, first keep the first fraction the same, replace ‘÷’ with ‘x’, and _______.

Answer 9

flip the second fraction

Question 10

What does ‘of’ mean in the context of fractions?

Answer 10

‘of’ means ‘x’

This indicates multiplication in fraction calculations.

Question 11

How is a whole number expressed as a fraction?

Answer 11

A whole number is expressed as the number over 1

For example, 10 is 10/1 and 7 is 7/1.

Question 12

What is 10 expressed as a fraction?

Answer 12

10/1

This representation helps in fraction calculations.

Question 13

What is 7 expressed as a fraction?

Answer 13

7/1

This format is used for performing operations with fractions.

Question 14

What is the process to find fractions of an amount?

Answer 14

Multiply the two fractions

This involves applying the multiplication rule for fractions.

Question 15

What is the first step in the alternative method for calculating?

Answer 15

Divide the amount/number by the denominator

This method provides a systematic approach to arrive at the desired result.

Question 16

What is the second step in the alternative method for calculating?

Answer 16

Multiply the result by the numerator

This step completes the calculation process, yielding the final answer.

Question 17

How do you convert a Fraction to a decimal ?

Answer 17

Divide the numerator by the denominator

Question 18

How do you convert a decimal to a percentage ?

Answer 18

multiply the decimal by 100

Question 19

How do you convert from a percentage to a decimal ?

Answer 19

Divide by 100

Question 21

What is the first step to convert a terminating decimal to a fraction?

Answer 21

Put the numbers in the decimal as the numerator (without the decimal point)

This involves identifying the digits in the decimal and using them directly as the numerator.

Question 22

How do you determine the denominator when converting a terminating decimal?

Answer 22

The denominator is determined by the position of each decimal place, referred to as tenths, hundredths, thousandths, etc.

The number of decimal places indicates the power of 10 to use as the denominator.

Question 23

For the decimal 0.3, what is the denominator when converting it to a fraction?

Answer 23

10

Since 0.3 contains only tenths, the denominator is 10.

Question 24

For the decimal 0.32, what is the denominator when converting it to a fraction?

Answer 24

100

0.32 contains tenths and hundredths, so the denominator is 100.

Question 25

What is the main difference in converting terminating and recurring decimals?

Answer 25

The method used depends on whether the decimal is terminating or recurring. ## Footnote Terminating decimals can be directly converted, while recurring decimals may require additional steps.

Question 27

What method would you use to convert a recurring decimal to a fraction ?

Answer 27

Start by writing down the decimal equivalent to x Multiply the decimal by 10(n) Where n is the number of decimals that repeat Minus original value x Solve for x

Question 28

What if you have a non recurring number before a recurring number in a decimal ?

Answer 28

Do everything the same but as you cannot have a decimal in the fraction, multiply the numerator and the denominator by 10 and simplify

Question 29

How to write a percentage as a fraction ?

Answer 29

Put it over 100 and simplify

Question 30

How to write a fraction as a percentage ?

Answer 30

Multiply fraction by 100/1

Question 32

Equivalents of 0.1

Answer 32

1/10 and 10%

Question 33

Equivalents of 0.3

Answer 33

1/3 and 33.3%

Question 34

Equivalents of 0.6

Answer 34

2/3 and 66.6%

Question 35

Equivalents of 0.2

Answer 35

1/5 and 20%

Question 36

Equivalents of 0.4

Answer 36

2/5 and 40 %