Multiplying Unit Fractions with Whole Numbers:
1/4 of 8: draw eight fraction bars cut into fourths - label one piece in each bar and write the multiplication equation: 1/4 x 8/1 = 8/4 = 2
1/3 of 9: draw nine fraction bars cut into thirds - label one piece in each bar and write the multiplication equation: 1/3 x 9/1 = 9/3 = 3
1/7 of 14: draw fourteen fraction bars cut into sevenths - label one piece in each bar and write the multiplication equation: 1/7 x 14/1 = 14/7 = 2
Unit Fraction Story Problem Example:
Leighton uses 1/4 of a pound of butter in making one batch of popcorn. Shade parts of the following bars to represent the amount of butter for making 5 batches of popcorn.
1/4 1/4 1/4 1/4 1/4
a. Complete the addition equation to show the amount of butter used for making 5 batches of popcorn.
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4 = 1 1/4
b. Write a multiplication equation to show the total amount of butter Leighton used for making 5 batches of popcorn. 1/4 of 5 = 1/4 x 5/1 = 5/4 = 1 1/4
Multiplying Non-Unit Fractions with Whole Numbers:
2/4 of 8: draw eight fraction bars cut into fourths - label TWO pieces in each bar and write the multiplication equation: 2/4 x 8/1 = 16/4 = 4
2/3 of 9: draw nine fraction bars cut into thirds - label TWO pieces in each bar and write the multiplication equation: 2/3 x 9/1 = 18/3 = 6
3/7 of 14: draw fourteen fraction bars cut into sevenths - label THREE pieces in each bar and write the multiplication equation: 3/7 x 14/1 = 42/7 = 6
Non-Unit Fraction Story Problem Example:
Leighton uses 2/4 of a pound of butter in making one batch of popcorn. Shade parts of the following bars to represent the amount of butter for making 5 batches of popcorn.
1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4
a. Complete the addition equation to show the amount of butter used for making 5 batches of popcorn.
1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 10/4 = 2 2/4 or 2 1/2
b. Write a multiplication equation to show the total amount of butter Leighton used for making 5 batches of popcorn. 2/4 of 5 = 2/4 x 5/1 = 10/4 = 2 2/4 or 2 1/2
1/4 of 8: draw eight fraction bars cut into fourths - label one piece in each bar and write the multiplication equation: 1/4 x 8/1 = 8/4 = 2
1/3 of 9: draw nine fraction bars cut into thirds - label one piece in each bar and write the multiplication equation: 1/3 x 9/1 = 9/3 = 3
1/7 of 14: draw fourteen fraction bars cut into sevenths - label one piece in each bar and write the multiplication equation: 1/7 x 14/1 = 14/7 = 2
Unit Fraction Story Problem Example:
Leighton uses 1/4 of a pound of butter in making one batch of popcorn. Shade parts of the following bars to represent the amount of butter for making 5 batches of popcorn.
1/4 1/4 1/4 1/4 1/4
a. Complete the addition equation to show the amount of butter used for making 5 batches of popcorn.
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4 = 1 1/4
b. Write a multiplication equation to show the total amount of butter Leighton used for making 5 batches of popcorn. 1/4 of 5 = 1/4 x 5/1 = 5/4 = 1 1/4
Multiplying Non-Unit Fractions with Whole Numbers:
2/4 of 8: draw eight fraction bars cut into fourths - label TWO pieces in each bar and write the multiplication equation: 2/4 x 8/1 = 16/4 = 4
2/3 of 9: draw nine fraction bars cut into thirds - label TWO pieces in each bar and write the multiplication equation: 2/3 x 9/1 = 18/3 = 6
3/7 of 14: draw fourteen fraction bars cut into sevenths - label THREE pieces in each bar and write the multiplication equation: 3/7 x 14/1 = 42/7 = 6
Non-Unit Fraction Story Problem Example:
Leighton uses 2/4 of a pound of butter in making one batch of popcorn. Shade parts of the following bars to represent the amount of butter for making 5 batches of popcorn.
1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4
a. Complete the addition equation to show the amount of butter used for making 5 batches of popcorn.
1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 10/4 = 2 2/4 or 2 1/2
b. Write a multiplication equation to show the total amount of butter Leighton used for making 5 batches of popcorn. 2/4 of 5 = 2/4 x 5/1 = 10/4 = 2 2/4 or 2 1/2