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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 ũ 2 = ?
First, convert the mixed number to an improper fraction.
2 3/4 ũ 2 = 11/4 ũ 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 ũ 2 2/3 = ?
First, convert the mixed number to an improper fraction
6 ũ 2 2/3
= 6 ũ 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 ũ 3 1/3 = ?
First, convert both the mixed numbers to improper fractions.
2 2/3 ũ 3 1/3
= 8/3 ũ 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 ũ 2 =42/421/4 Q 2: 2 1/2 ũ 5/4 =12/44/5 Q 3: 3 1/4 ũ 1/4 =3 1/432 1/413 Q 4: 10 1/8 ũ 2 1/4 =5 1/24 1/84 1/25 1/3 Q 5: 3/5 ũ 1 1/4 =32/2022/2512/2512/20 Q 6: 3 2/3 ũ 4 1/2 =22/2711/2711/922/18 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!