Fractions

Elementary School Level Questions: Ask Dr. Math

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Below are some questions and answers from our archive of questions sent via e-mail by K12 students and teachers to Ask Dr. Math. You may also browse the entire elementary level archive by category.

Adding and Subtracting Fractions and Mixed Numbers

Can you help me with this question? 1 1/2 + 4 3/2.
3 1/4 + 5 3/12? I've been trying this over and over again and I still don't get it!
Common Denominators
Why do fractions need common denominators in order to be added together?
Mixed Numbers
How can 7/3 be 2 and 1/3?
Why do we add numerators but not denominators when we add fractions with like denominators?
Subtracting Improper Fractions
What is: 3 and 4/9 - 2 and 8/7? What is: 4 and 5/3 + 3 and 6/7?
Working with Mixed Number Fractions
How do I subtract, add, or multiply a mixed number fraction?

Multiplying Fractions and Mixed Numbers

Multiplying Fractions
I need help with problems such as this one: 3 1/4 x 3/4 = ?
How do I solve (1/3 + 2/5) x 3/4 ?
Multiplying Fractions and a Whole Number
How are problems like 3/5 x 4 done?
Multiplying Unlike Fractions
What is the fastest way to multiply unlike fractions?
Multiplying and Dividing Mixed Fractions
How do you divide 1 1/2 by 9/10 or multiply 8 1/4 by 2 2/3?
Multiplying by Fractions and Decimals
What number is 3\10 more than .025?
What is 4/5*10?
Working with Mixed Number Fractions
How do I subtract, add, or multiply a mixed number fraction?
Working with Mixed Numbers
I was wondering if you could tell me the proper sequence for dividing and multiplying mixed numbers.

Dividing Fractions and Mixed Numbers

Dividing 800 by 500
A nine-year-old asks: How can I divide 800 by 500?
Dividing by a Fraction
Why is it that when dividing fractions you have to multiply by the reciprocal?
Dividing Fractions
My class would like an explanation for why you invert and multiply when dividing fractions.
Dividing a Whole Number by a Fraction
What are the steps to divide a whole number by a fraction?
Fractions, Improper Fractions, Mixed Numbers
How do you turn an improper fraction into a mixed number?
If 1/4 of a number equals 1/20, then what does 5/4 of this same number equal?
Multiplying and Dividing Mixed Fractions
How do you divide 1 1/2 by 9/10 or multiply 8 1/4 by 2 2/3?
Two Division Questions
There are 9 men. How many cookies would each man get if there were 113 cookies? Also, what is the answer to 1,623,341 divided by 1.632 x 2389?
What is 12/8?
We are studying division. What is 12/8?

Reducing Fractions

Adding, Subtracting, Multiplying, and Dividing Fractions
I am ten years old and I don't understand lower-term fractions.
Reducing Fractions
What is the easiest method of reducing fractions to lowest terms?

Rounding Fractions

Rounding Numbers
When rounding fractions, would 1/3 be considered 1/2 or 0?

Fractions and Decimals

Fractions for Repeating Decimals
Convert 3.04050505.... into a fraction...
Reducing Fractions to Lowest Terms
How do you bring a fraction like 5/8 to its lowest term?
Multiplying by Fractions and Decimals
What number is 3/10 more than .025?
Why We need Decimals
Why do we need decimals?

Rational and Irrational Numbers

Pi, Irrational Numbers
What is Pi and how does it work? What are rational numbers and what are irrational numbers? How do they work
Rational and Irrational Numbers
What is the difference between rational and irrational numbers?

Teaching Fractions

Fractions for Third and Fourth Graders
I need to come up with creative and effective ways to teach fractions to some 3rd and 4th graders.
Teaching Fractions
I'm teaching 6th grade math, multiplying fractions, and some of the students don't understand that 5 and 5/1 are the same. Any suggestions?
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Mara Landers