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To change the mixed number there are two whole numbers at 2 pieces each plus the 1 you already had. To divide fractions any whole numbers must be converted to fractions by placing them over one. All mixed numbers must change to improper. 1 5 5 ÷ ÷ 2 x + 2 5 1 2 = = Since we can't not divide fractions, change to reciprocal multiplication. Change the sign in the middle to multiplication and flip the number of the right. Continued. 5 1 1 5 • ÷ 5 2 2 5 = = Continued. Since multiplication is commutative, we can now simplify any numerator with any denominator. Now multiply across the top. Put the answer on top. Multiply across the bottom. Put the answer on bottom. Make sure the answer is simplified.
5 1 1 1 1 ÷ 5 • • 2 1 2 5 1 ÷ 5 = or 2 = 1) Whole numbers to fractions. Mixed to improper. Division only: Change to multiplication and flip on right. 2) Simplify any one top with any one bottom. 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Changed to multiplication before it is simplified. After it is simplified. ÷3 • 2 9 9 1 ÷3 ÷ ÷ • 1 + 2 x 3 2 2 1 = = Mixed to Improper 1 Changed to multiplication before it is simplified. 1 3 ÷ 8 9 = ÷4 After it is simplified. ÷3 • ÷ ÷4 ÷3 = • = = Mixed to Improper 2 Changed to multiplication before it is simplified. 2 3 ÷ 4 9 = ÷4 After it is simplified. ÷3 • ÷ ÷4 ÷3 = • = = Mixed to Improper Changed to multiplication before it is simplified. 6 ÷ 1 1 2 = ÷3 After it is simplified. • ÷ ÷3 = • = = Mixed to Improper 1 Changed to multiplication before it is simplified. 1 3 ÷ 2 = ÷2 After it is simplified. • ÷ ÷2 = • = = Mixed to Improper 1 Changed to multiplication before it is simplified. 1 3 ÷ 8 9 = ÷4 After it is simplified. ÷3 • ÷ ÷4 ÷3 = • = = Mixed to Improper 1 Changed to multiplication before it is simplified. 1 5 ÷ 1 3 5 = ÷2 After it is simplified. ÷5 • ÷ ÷2 ÷5 = • = = Mixed to Improper 1 Changed to multiplication before it is simplified. 1 3 ÷ 1 1 6 = After it is simplified. ÷3 • ÷ ÷3 = • = = Mixed to Improper 5 Changed to multiplication before it is simplified. 1 3 ÷ 1 1 9 = ÷2 After it is simplified. ÷3 • ÷ ÷2 ÷3 = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 2 ÷ 1 3 4 = After it is simplified. ÷2 • ÷ ÷2 = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 6 ÷ 1 1 4 = After it is simplified. ÷2 ÷5 • ÷ ÷2 ÷5 = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 1 3 ÷ 1 5 6 = After it is simplified. • ÷ = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 1 3 ÷ 6 = After it is simplified. • ÷ = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 5 ÷ 1 1 2 = After it is simplified. • ÷ = • = = Mixed to Improper 1 After it is simplified.
Hint: Sometimes, it is already simplified. Changed to multiplication before it is simplified. 1 3 ÷ 1 1 2 = • ÷ = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 1 3 ÷ 4 = After it is simplified. • ÷ = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 3 4 ÷ 1 2 3 = After it is simplified. • ÷ = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 5 ÷ 1 1 10 = After it is simplified. • ÷ = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 5 ÷ 1 2 5 = After it is simplified. • ÷ = • = = Mixed to Improper 4 Changed to multiplication before it is simplified. 1 5 ÷ 4 2 3 = After it is simplified. • ÷ = • = = Mixed to Improper Changed to multiplication before it is simplified. 7 ÷ 3 1 2 = After it is simplified. • ÷ = • = = Mixed to Improper 5 Changed to multiplication before it is simplified. 1 3 ÷ 4 9 = After it is simplified. • ÷ = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 3 4 ÷ 3 1 8 = After it is simplified. • ÷ = • = = Mixed to Improper 5 Changed to multiplication before it is simplified. ÷ 5 9 = After it is simplified. • ÷ = • = = Mixed to Improper 5 Changed to multiplication before it is simplified. 1 4 ÷ 1 1 6 = After it is simplified. • ÷ = • = = Mixed to Improper 3 Changed to multiplication before it is simplified. 3 4 ÷ 3 = After it is simplified. • ÷ = • = = Mixed to Improper 5 Changed to multiplication before it is simplified. ÷ 4 9 = After it is simplified. • ÷ = • = = |