📚 Part 1: Multiple Choice — WALT: Convert simple fractions to decimals

WALT: We are learning to convert common fractions into decimal form.

Success criteria: I can divide the numerator by the denominator, place the decimal point correctly, and check my answer.

Example: Convert 1/2 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 1 ÷ 2.

Step 2: Since 1 is less than 2, we need to add a decimal point and a zero. Rewrite it as 1.0.

Step 3: Now, divide: 2 goes into 10 five times (2 x 5 = 10).

Step 4: The answer is 0.5.

Manual Conversion Method: To convert a fraction to a decimal using long division, write the numerator (1) inside the division bracket and the denominator (2) outside. Perform the division step by step, adding zeros if necessary until you reach the desired decimal places.

Example: Convert 3/4 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 3 ÷ 4.

Step 2: Since 3 is less than 4, add a decimal point and a zero. Rewrite it as 3.0.

Step 3: Divide: 4 goes into 30 seven times (4 x 7 = 28).

Step 4: Subtract 28 from 30 to get 2. Bring down another zero to make it 20.

Step 5: 4 goes into 20 five times (4 x 5 = 20).

Step 6: The answer is 0.75.

Example: Convert 7/10 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 7 ÷ 10.

Step 2: Since 7 is less than 10, add a decimal point and a zero. Rewrite it as 7.0.

Step 3: Divide: 10 goes into 70 seven times (10 x 7 = 70).

Step 4: The answer is 0.7.

✏️ Part 2: Short Answers — WALT: Convert a range of fractions including mixed numbers

WALT: We are learning to convert unit and non-unit fractions, and mixed numbers, into decimals.

Success criteria: I can divide to three decimal places when needed, write the decimal correctly (tenths, hundredths, thousandths), and show my working.

Example: Convert 2/5 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 2 ÷ 5.

Step 2: Since 2 is less than 5, add a decimal point and a zero. Rewrite it as 2.0.

Step 3: Divide: 5 goes into 20 four times (5 x 4 = 20).

Step 4: The answer is 0.4.

Manual Conversion Method: For fractions like 2/5, you can also find an equivalent fraction with a denominator of 10 (which is easier to convert). Multiply both the numerator and denominator by 2 to get 4/10, which is 0.4.

Example: Convert 9/10 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 9 ÷ 10.

Step 2: Since 9 is less than 10, add a decimal point and a zero. Rewrite it as 9.0.

Step 3: Divide: 10 goes into 90 nine times (10 x 9 = 90).

Step 4: The answer is 0.9.

Example: Convert 1/8 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 1 ÷ 8.

Step 2: Since 1 is less than 8, add a decimal point and a zero. Rewrite it as 1.0.

Step 3: Divide: 8 goes into 10 once (8 x 1 = 8).

Step 4: Subtract 8 from 10 to get 2. Bring down another zero to make it 20.

Step 5: 8 goes into 20 two times (8 x 2 = 16).

Step 6: Subtract 16 from 20 to get 4. Bring down another zero to make it 40.

Step 7: 8 goes into 40 five times (8 x 5 = 40).

Step 8: The answer is 0.125.

Example: Convert 11/20 to a decimal. Show your working:

Step 1: Write the fraction as a division problem: 11 ÷ 20.

Step 2: Since 11 is less than 20, add a decimal point and a zero. Rewrite it as 11.0.

Step 3: Divide: 20 goes into 110 five times (20 x 5 = 100).

Step 4: Subtract 100 from 110 to get 10. Bring down another zero to make it 100.

Step 5: 20 goes into 100 five times (20 x 5 = 100).

Step 6: The answer is 0.55.

Example: Convert the mixed number 1 1/2 to a decimal. Show your working:

Step 1: Convert the mixed number to an improper fraction: 1 1/2 = 3/2.

Step 2: Write the fraction as a division problem: 3 ÷ 2.

Step 3: Divide: 2 goes into 3 once (2 x 1 = 2).

Step 4: Subtract 2 from 3 to get 1. Bring down a zero to make it 10.

Step 5: 2 goes into 10 five times (2 x 5 = 10).

Step 6: The answer is 1.5.

Manual Conversion Method: To convert mixed numbers, first convert them to improper fractions. Then follow the same division process as before.