Step: 1

Figure 1 represents the fraction 4 8 .

Step: 2

Factors of 4 are 1, 2 and 4.

Step: 3

Factors of 8 are 1, 2, 4 and 8.

Step: 4

The common factors of 4 and 8 are 1, 2 and 4.

Step: 5

[Divide numerator and denominator by the common factor, 2 and simplify.]

Step: 6

[Divide numerator and denominator by the common factor, 4 and simplify.]

Step: 7

The two fractions equivalent to 4 8 are 2 4 and 1 2 .

Step: 8

Figures 2 and 3 represent the fractions 2 4 and 1 2 respectively.

Step: 9

Figures 1, 2 and 3 model the equivalent fractions.

Step: 10

Figure 4 models the fraction 3 4 , which is not equivalent to the fractions modeled by other figures.

Step: 11

Figure 4 is the model, which is not equivalent to the other models.

Correct Answer is : Figure 4

Step: 1

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45.

[Write the multiples of the numerator.]

Step: 2

Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54.

[Write the multiples of the denominator.]

Step: 3

The equivalent fraction of 5 6 is 10 12 .

Correct Answer is : 10 12

A | B | C | D |

4/9 | 6/9 | 12/3 | 8/12 |

Step: 1

An equivalent of the fraction is obtained by multiplying or dividing the numerator and the denominator of the fraction with a common number.

Step: 2

We cannot get A by multiplying the numerator and the denominator of 2 3 by any number.

Step: 3

So, A is not an equivalent fraction of the fraction.

Step: 4

We get B by multiplying the numerator and the denominator of 2 3 by 3

Step: 5

= 2×3 3×3 = 6 9

Step: 6

We cannot get C by multiplying the numerator and the denominator of 2 3 by any number.

Step: 7

So, C is not an equivalent fraction of the fraction.

Step: 8

We get D by multiplying the numerator and the denominator of 2 3 by 4

Step: 9

= 2×4 3×4 = 8 12

Step: 10

The fractions equivalent to 2 3 are 6 9 and 8 12

Correct Answer is : B and D

Step: 1

The fraction of matches Francis won = Number of matches won Total number of matches = 3 9

Step: 2

The equivalent fractions for this is, 3 × 2 9 × 2 = 6 18

[Multiply numerator and denominator by the same nonzero number.]

Step: 3

[Divide numerator and denominator by GCF 3.]

Step: 4

The two equivalent fractions of 3 9 are 6 18 and 1 3

Correct Answer is : 3 9 , 6 1 8 and 1 3

Step: 1

Consider the following fractions strips.

[Because, the question and choices contain half (1 2 ), fourths (1 4 ), eighths (1 8 ), and twelfths (1 12 ).]

Step: 2

We need to find the fraction from the choices that is equivalent to the fraction 3 4 . We will use the fraction strips shown above.

Step: 3

The figure below shows 3 4 .

[Three 1 4 strips make one 3 4 .]

Step: 4

Consider each fraction listed one-by-one.

Step: 5

Line up the 1 2 fraction strip directly below the 3 4 fraction strip as shown. They don't match exactly, we observe some extra space, which means that 1 2 is less than 3 4 .

Step: 6

Line up ten 1 12 fraction strip directly below the 3 4 fraction strip as shown. They don't match exactly, we observe some extra space, which means that 10 12 is greater than 3 4 .

[Ten 1 12 fraction strips make one 10 12 fraction strip.]

Step: 7

Line up six 1 8 fraction strip directly below the 3 4 fraction strip as shown. They match exactly, which means that 6 8 is equivalent to 3 4 .

[Six 1 8 fraction strips make one 6 8 fraction strip.]

Step: 8

[Because, when 6 8 is equivalent to 3 4 , 9 8 will obviously be greater than 3 4 . (9 > 6).]

Correct Answer is : 6 8

Step: 1

To find an **equivalent fraction**, we have to __multiply or divide the numerator and denominator by the same number__.

Step: 2

To compare 3 4 and 4 12 , we would multiply 3 4 by 3 3 to produce 9 12 .

[3 × 3 4 × 3 = 9 12 ]

Step: 3

Step: 4

Step: 5

To compare 3 4 and 9 12 , we would multiply 3 4 by 3 3 to produce 9 12 .

[3 × 3 4 × 3 = 9 12 ]

Step: 6

Correct Answer is : 9 12

Step: 1

Fractions that represent same amount are called Equivalent fractions.

Step: 2

[Multiply numerator and denominator by 2.]

Step: 3

So, the fraction 8 1 0 equivalent to the fraction 4 5 .

Correct Answer is : 8 1 0

Step: 1

An equivalent of a fraction is obtained, by multiplying or dividing the numerator and the denominator of a given fraction, by a common number.

Step: 2

Multiply the numerator and the denominator of the fraction by 1, 2, 3, . . .

Step: 3

Step: 4

So, 1 2 = 4 8 = 5 1 0 .

Correct Answer is : 5 1 0

Step: 1

An equivalent fraction is obtained by multiplying or dividing the numerator and the denominator of the fraction with a common number.

Step: 2

Among the choices 3 27 can be obtained by multiplying the numerator and the denominator of 1 9 by 3.

Step: 3

So, 3 27 is another equivalent fraction.

Correct Answer is : 3 2 7

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