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### MEAP Preparation - Grade 7 Mathematics1.16 Division of Mixed Numbers

#### Division of a Mixed Number with a Whole Number

Example: 2 3/4 ÷ 2 = ?
First, convert the mixed number to an improper fraction.
2 3/4 ÷ 2 = 11/4 ÷ 2
Multiply the improper fraction with the reciprocal of the whole number.
= 11/4 x 1/2
= 11/8

#### Division of a Whole Number with a Mixed Number

Example: 6 ÷ 2 2/3 = ?
First, convert the mixed number to an improper fraction
6 ÷ 2 2/3
= 6 ÷ 8/3
Multiply the whole number with the reciprocal of the improper fraction,
= 6 x 3/8
= 24/8

#### Division of a Mixed Number with a Mixed Number

Example: 2 2/3 ÷ 3 1/3 = ?
First, convert both the mixed numbers to improper fractions.
2 2/3 ÷ 3 1/3
= 8/3 ÷ 10/3
Multiply the first improper fraction with the reciprocal of the second improper fraction.
= 8/3 x 3/10
= 24/30
Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: 1/2 ÷ 2 =22/441/4 Q 2: 2 1/2 ÷ 5/4 =14/52/4 Q 3: 3 1/4 ÷ 1/4 =32 1/43 1/413 Q 4: 3 1/4 x 2 1/4 =61 4/93/81 1/2 Q 5: 3 2/3 ÷ 4 1/2 =11/922/1822/2711/27 Q 6: 5 2/3 ÷ 1/4 =22 2/322 3/420 4/521 2/3 Q 7: 10 1/8 ÷ 2 1/4 =4 1/24 1/85 1/25 1/3 Q 8: 12/5 ÷ 4/3 = 12/517/89/515/9 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!