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

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

A - increased

B - decreased

C - remains same

D - neither

### 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.

A - increased

B - decreased

C - remains same

D - neither

### 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.

A - neither

B - decreased

C - remains same

D - increased

### 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.

A - decreased

B - increased

C - remains same

D - neither

### 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.

A - decreased

B - increased

C - remains same

D - neither

### 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

A - increased

B - remains same

C - decreased

D - neither

### 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.

A - decreased

B - remains same

C - increased

D - neither

### 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.

A - neither

B - remains same

C - decreased

D - increased

### 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.

A - decreased

B - remains same

C - increased

D - neither

### 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.

A - neither

B - decreased

C - increased

D - remains same

### 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

determining_if_quantity_is_increased_or_decreased_when_multiplied_by_fraction.htm