- Multiply and Divide Fractions
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- Product of a Unit Fraction and a Whole Number
- Product of a Fraction and a Whole Number: Problem Type 1
- Introduction to Fraction Multiplication
- Fraction Multiplication
- Product of a Fraction and a Whole Number Problem Type 2
- Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction
- Modeling Multiplication of Proper Fractions
- Multiplication of 3 Fractions
- Word Problem Involving Fractions and Multiplication
- The Reciprocal of a Number
- Division Involving a Whole Number and a Fraction
- Fraction Division
- Fact Families for Multiplication and Division of Fractions
- Modeling Division of a Whole Number by a Fraction
- Word Problem Involving Fractions and Division

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# Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

**Q 1 - Multiply 2 ×$\frac{2}{5}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : B

### Explanation

**Step 1:**

2 ×$\frac{2}{5}$ = $\frac{4}{5}$; 2 = 2 ×$\frac{5}{5}$ = $\frac{10}{5}$

**Step 2:**

The number is decreased on being multiplied by the fraction as

$\frac{4}{5}$ < $\frac{10}{5}$. or $\frac{4}{5}$ < 2

**Q 2 - Multiply 3 ×$\frac{5}{5}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : C

### Explanation

**Step 1:**

3 × $\frac{5}{5}$ = $\frac{15}{5}$

**Step 2:**

The number remains same on being multiplied by the fraction as

$\frac{15}{5}$ = 3 or 3 × $\frac{5}{5}$ = 3

**Q 3 - Multiply 2 ×$\frac{5}{3}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : D

### Explanation

**Step 1:**

2 × $\frac{5}{3}$ = $\frac{10}{3}$; 2 × $\frac{3}{3}$ = $\frac{6}{3}$

**Step 2:**

The number is increased on being multiplied by the fraction as

$\frac{10}{3}$ > $\frac{6}{3}$ or $\frac{10}{3}$ > 2

**Q 4 - Multiply 7 ×$\frac{1}{4}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : A

### Explanation

**Step 1:**

7 × $\frac{1}{4}$ = $\frac{7}{4}$; 7 × $\frac{4}{4}$ = $\frac{28}{4}$

**Step 2:**

The number is decreased on being multiplied by the fraction as

$\frac{7}{4}$ < $\frac{28}{4}$ or $\frac{7}{4}$ < 7

**Q 5 - Multiply 2 ×$\frac{6}{6}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : C

### Explanation

**Step 1:**

2 × $\frac{6}{6}$ = $\frac{12}{6}$

**Step 2:**

The number remains same on being multiplied by the fraction as

$\frac{12}{6}$ = 2 or 2 × $\frac{6}{6}$ = 2

**Q 6 - Multiply 7 × $\frac{4}{3}$ and determine if the number is decreased/increased/same on multiplying by the fraction**

### Answer : A

### Explanation

**Step 1:**

7 × $\frac{4}{3}$ = $\frac{28}{3}$; 7 × $\frac{3}{3}$ = $\frac{21}{3}$

**Step 2:**

The number is increased on being multiplied by the fraction as

$\frac{28}{3}$ > $\frac{21}{3}$ or $\frac{28}{3}$ > 7

**Q 7 - Multiply 5 ×$\frac{3}{3}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : B

### Explanation

**Step 1:**

5 × $\frac{3}{3}$ = $\frac{15}{3}$

**Step 2:**

The number remains same on being multiplied by the fraction as

$\frac{15}{3}$ = 5 or 5 × $\frac{3}{3}$ = 5

**Q 8 - Multiply 5 ×$\frac{5}{2}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : D

### Explanation

**Step 1:**

5 ×$\frac{5}{2}$ = $\frac{25}{2}$; 5 ×$\frac{2}{2}$ = $\frac{10}{2}$

**Step 2:**

The number is increased on being multiplied by the fraction as

$\frac{25}{2}$ > $\frac{10}{2}$ or $\frac{25}{2}$ > 5

**Q 9 - Multiply 4 ×$\frac{2}{5}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : A

### Explanation

**Step 1:**

4 ×$\frac{2}{5}$ = $\frac{8}{5}$; 4 ×$\frac{5}{5}$ = $\frac{20}{5}$

**Step 2:**

The number is decreased on being multiplied by the fraction as

$\frac{8}{5}$ < $\frac{20}{5}$ or $\frac{8}{5}$ < 4

**Q 10 - Multiply 4 ×$\frac{5}{5}$ and determine if the number is decreased/increased/same on multiplying by the fraction.**

### Answer : D

### Explanation

**Step 1:**

4 × $\frac{5}{5}$ = $\frac{20}{5}$

**Step 2:**

The number remains same on being multiplied by the fraction as

$\frac{20}{5}$ = 4 or 4 × $\frac{5}{5}$ = 4