## Products of Top Heavy Fractions and Integers

#### Aligned To Common Core Standard:

**Grade 5 Fractions** - 5.NF.5

How to Find the Products of Top-Heavy Fractions and Integers?
When learning fractions, there are three types that kids have to understand. The first ones that kids learn about are the proper fractions. Here the denominator of the fraction is greater than the numerator of the fraction. 1/4, 15/27, and 2/3 are examples of proper fractions.
The second type fractions are the improper fractions that are also known as "top-heavy" fractions. Here the denominator of the fraction is smaller than the numerator of the fractions. 12/7, 5/3, and 7/4 Are all examples of top-heavy fractions. The third Type is mixed fractions, which can be written as improper fractions. 3 1/4, 1 1/2 are examples of mixed fractions.
Once a student grasps the concepts of improper fractions easily, they can easily multiply the improper fractions with integers.
Example: Find the product of 18/7 × 3.
**Step 1: Convert Integer into a Fraction** -
The first step is to convert the integer into a fraction with one as its denominator. 18/7 × 3/1
**Step 2: Multiply the Numerators and the Denominators** - (18×3)/(7×1) = 54/7
The resulting fraction is the answer; you can write it as a mixed number, and where possible, you can simplify the fraction. This lesson and worksheet series shows you how to multiply top heavy fractions with whole numbers.

### Printable Worksheets And Lessons

- Whole Number Time
Improper Fractions Step-by-step Lesson- I walk you through how
to take an improper fraction and make it into a workable product.

- Guided Lesson
- Multiple the improper fraction, find a missing fraction (in this
case a whole number), and more improper fractions for you to work
with.

- Guided Lesson Explanation
- I really spend a great deal of time working on the concept of
how to best reduce fractions.

- Practice Worksheet
- A big series of fractions (both improper and proper) for you to
work with.

- Matching Worksheet - Match the fraction to the operations that created it.

#### Homework Sheets

This will get students into the basic rhythm of these types of problems. Multiply the numerator and reduce into a mixed number.

- Homework 1 - To multiply a fraction by a whole number, write the whole number as a fraction with same numerator and 1 as the denominator.
- Homework 2 - If we divide the numerator and denominator by the fraction, we can determine the missing parts.
- Homework 3 - Multiply the numerators then multiply the denominators.

#### Practice Worksheets

You are introduced to find the missing piece of the fraction.

- Practice 1 - Calculate the product and simplify your answer.
- Practice 2 - Find the missing numbers.
- Practice 3 - This is a nice review for you.

#### Math Skill Quizzes

This quiz is loaded with tons of problems that were on the recent New York State and Texas grade 5 assessment.

- Quiz 1 - Find the products and fill in any empty sections along the way.
- Quiz 2 - These will require you to think at a higher level.
- Quiz 3 - Some pretty hefty fractions are here.