How to understand fraction of a number using: models with shapes, models with fraction blocks, and fraction number lines
The steps for multiplying a fraction with a whole number
When we are looking for a fraction of a number, we are using multiplication
The word “of” in math usually signifies multiplication
We can use models with shapes to find the fraction of a number:
Ex. What is 51 of 15?
Use 15 circles to represent the whole number; divide into 5 equal parts; answer how many circles are in 1 of those parts:
Therefore, 51 x 15 = 3
We can also use models with fraction blocks to find the fraction of a number:
Ex. What is 32 × 5?
Create a fraction block with 2 of 3 equal parts shaded in. Repeat 5 times.
There are 10 parts shaded in, each one is worth 31 of a whole.
Therefore, 32 x 5 = 310 or 3 31
We can also use number lines to find the fraction of a number:
Ex. What is 4 × 51 ?
Split a line (from 0 to 1) into 5 equal parts, create 4 jumps of 1 part each (51)
Generally, the fastest way to find the fraction of a number will be to do fraction multiplication with a whole number using these steps:
Step 1: Put the whole number as a fraction over 1
Step 2: Cross cancel the numbers if possible
Step 3: Multiply the top numbers and then separately multiply the bottom numbers
Step 4: Write your answer in lowest terms
Ex. What is 186 of 24?
Introduction to Fraction of a Number:
Fraction of a number using shapes
Fraction of a number using fraction blocks
Fraction of a number using number lines
The 4 steps for fraction multiplication with a whole number
Number Lines and Fraction of a Number Use the number line to complete the multiplication sentence (fill in and/or analyze):
5 × 81 = ___
52 x 6 = ___
Fraction Blocks and Fraction of a Number Use fraction blocks to solve for the fraction of each number.
4 × 61 = ?
32 × 6 = ?
Which model shows the answer to 91 × 5?
Which model shows the answer to 3 x 53 × 5?
Fraction Multiplication for Fraction of a Number Use the steps for fraction multiplication to solve.
Hint: (1) put whole number over 1, (2) cross cancel, (3) multiply numerators; multiply denominators, (4) write in lowest terms
14 × 71 = ?
113 × 11 = ?
6 × 54 = ?
× 70 = ?
miles away from the mall. Trixie lives 6 times that distance from the mall. How many miles away from the mall does Trixie live?
Figuring out Fraction Multiplication Backwards Fill in the blanks by working backwards.
× ? =
× ? =
Fraction of a Number Picture Problems Use the picture. Write the multiplication equation with a fraction and a whole number. Then, solve for the fraction of a number.
Fraction of a Number: Word Problem Jerry Jepson Elementary School has a population of 380 students. Mrs. Kim's class has 14 girls and 10 boys.
If 61 of the class is vegetarian, how many students are vegetarian?
If 83 of the class has siblings, how many students have a brother or sister? How many students are only-children?
If 387 of the school's students have pets how many students have pets? Out of these pet owners, 74 have dogs as pets; how many students have dogs?
If 53 of the school wears glasses and 41 of Mrs. Kim's class wears glasses, what is the FRACTION of students wearing glasses in the class compared to the entire school?