Fraction Problem Solving Mixed Operations

What is the first step to solving - 5/8 ➗ 5

• Change to an improper fraction

• Right the second fraction as 5/1

• Flip the second fraction to 5/1

• Multiply -5 by 5

2 ¹/₃ + 4 ²/₅ equals what?

• 6 3/8

• 2 1/2

• None of these

• 6 ¹¹/₁₅

Solve: 9 and 3/4 PLUS 6 and 1/2 PLUS 4 and 3/8

Mathematical Equivalence

ON

Answer explanation

FInd the common multiple of 8, make equivalent fractions with 8 as the new denominator, then add then fractions and whole numbers. Make sure sure to put 19 and 13/8 into lowest terms by dividing 13 by 8.

What has to be the same before two fractions or mixed numbers can be added or subtracted?​ (a)  

• numerators

• denominators

• whole numbers

Write 25 / 3 as a mixed number

Mathematical Equivalence

ON

Answer explanation

Divide the numerator by the denominator, so 25 divided by 3, which is 8 with a remainder of 1. Put the remainder as the new numerator and keep the denominator the same.

Answer is 8 and 1/3

Solve 3 and 1/6 minus 1 and 5/6.

• Rename the 3 as 2 and 6/6

• Combine 2 and 6/6 with the 1/6, which is 2 and 7/6

• Subtract 1 5/6 from 2 and 7/6

• Reduce 1 and 2/6 to 1 and 1/3

Answer explanation

Because you cannot take 5/6 from 1/6 you have to start the problem by renaming / regrouping the 3 and 1/6

When dividing fractions, you have to remember to

Solve: 3/8 x 12

• 36/8

• 9/2

• 4 and 1/2

• 36/96

Answer explanation

Put the whole number over 1 before multiplying numerator x numerator and then denominator x denominator. Then divide the numerator by the denominator.

Put the steps in order for solving a complex fraction.

• rewrite as a division problem

• Keep - Change - Flip

• cross-reduce / cancel if possible

• multiply

• Simplify / reduce if possible

Answer explanation

1.. rewrite as a division problem

1. 2. Keep - Change - Flip

2. 3. Cross-reduce / Cancel if possible

3. 4. Multiply

4. 5. simplify / reduce to lowest terms if possible

Solve: 2 and 1/5 times 1 and 1/3

Use scrap paper

Mathematical Equivalence

ON

Answer explanation

Change the mixed numbers to improper fractions. Cross - reduce / cancel if possible. Multiply. Make sure your answer is in lowest terms.