Page 112 - Start Up Mathematics_4

Converting Mixed Fraction to Improper Fraction

We follow these steps to convert a mixed fraction to an improper fraction. Consider the
2
fraction 4 .
3
Step 1: Multiply the whole number by the denominator of the fractional part. 4 × 3 = 12

Step 2: Add the product to the
numerator of the fractional Quick Tip
part. 12 + 2 = 14 To convert a mixed fraction to improper fraction,
Step 3: Write the sum obtained in use this formula:
step 2 as the numerator with (Whole number × Denominator) + Numerator
the original denominator. Denominator
2 14
4 =
3 3
1
Example 8: Convert 5 to improper fraction.
2
1 (5 × 2) + 1 10 + 1 11
Solution: 5 = = =
2 2 2 2
Converting Improper Fraction to Mixed Fraction

We follow these steps to convert an improper fraction to a mixed fraction. Consider the
fraction 9 .
4

Step 1: Divide the numerator by the denominator. 2
4 9
Step 2: Write the quotient as the whole number, remainder as the – 8
numerator and divisor as the denominator of the fractional part.
9 = 2 1 1
4 4 Quick Tip

Example 9: Convert 16 to mixed fraction. 3 Mixed fraction
5 5 16 Remainder
16 1 – 15 = Quotient
Solution: = 3 Divisor
5 5 1

21
Example 10: Convert to mixed fraction. Remember
6
Solution: Factors of 21 = 3 × 7 Before changing into mixed fraction,
Factors of 6 = 3 × 2 cancel out the common factors of the
numerator and denominator, if any.
21 3 × 7 7
So, = =
6 3 × 2 2 3
Now divide the new numerator by the new denominator. 2 7
21 7 1 – 6
So, = = 3
6 2 2 1

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