Grade 4 Fractions Quiz: Equivalent and Decomposing Fractions

Equivalent Fractions

• An equivalent fraction of 2/4 is 1/2.
• 3/5 is equivalent to 6/10, 9/15, 12/20, or 15/25.
• 1/3 can be expressed as 3/9 with a denominator of 9.

Decomposing Fractions

• 7/8 can be decomposed into 3/8 + 4/8 or 1/8 + 6/8 or 2/8 + 5/8.
• 5/6 can be expressed as a sum of two fractions with a common denominator: 1/6 + 4/6 or 2/6 + 3/6 or 3/6 + 2/6.

Add and Subtract Fractions with Like Denominators

• 2/3 + 1/3 = 3/3.
• 4/5 - 2/5 = 2/5.

Add and Subtract Mixed Numbers with Like Denominators

• 2 1/4 + 1 3/4 = 3 1/2 or 4 1/2.
• 5 3/5 - 3 2/5 = 2 or 2 1/5.

Multiply Whole Numbers and Fractions

• 3 × 1/4 = 3/4.
• 5 × 2/3 = 10/3 or 3 1/3.

Multiply Whole Numbers with Mixed Numbers

• 2 × 1 1/2 = 3 or 3 1/2.
• 4 × 2 2/3 = 10 2/3 or 8 2/3 or 6 2/3.

Change Mixed Numbers into Improper Fractions

• 3 1/2 = 7/2.
• 4 3/4 = 19/4.

Change Improper Fractions to Mixed Numbers

• 9/4 = 2 1/4.
• 7/3 = 2 1/3.

General Fraction Operations

• 1/2 + 3/4 = 5/8 or 1 1/4.
• 6/7 can be decomposed into 3/7 + 3/7 or 2/7 + 4/7 or 1/7 + 5/7.
• 2 1/3 × 3 = 6 1/3 or 7 2/3.
• 2 - 1 2/5 = 1 3/5 or 3/5.
• 5/6 = 1 1/6.
• 4/9 with a denominator of 27 is equivalent to 12/27.
• 1 2/3 + 2 1/3 = 3 1/3 or 4.
• 4/5 - 3/5 = 1/5.
• 7/4 = 1 3/4.
• 5/6 × 2 = 10/6 or 5/3.
• 2 1/2 = 5/2.
• 4 - 3 1/4 = 3/4 or 3 3/4.
• 3 × 1 2/3 = 4 2/3 or 5.