Step: 1

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 and so on.

[Write the multiples of the numerator.]

Step: 2

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 and so on.

[Write the multiples of the denominator.]

Step: 3

The equivalent fraction of 3 4 is 6 8 .

Correct Answer is : 6 8

Step: 1

Given, the fractions in the problem are equivalent.

Step: 2

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

Step: 3

The denominator in the first fraction is a multiple of the denominator in the resultant fraction. So, the denominator should be divided by some number to get the resultant denominator.

Step: 4

Step: 5

The numerator of the fraction should be divided by 2 to get the missing numerator. The missing numerator = 10 ÷ 2.

Step: 6

The missing numerator = 5.

Correct Answer is : 5

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

[Given fraction.]

Step: 2

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: 3

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

Step: 4

Step: 5

So, 1 3 = 3 9 .

Correct Answer is : 3 9

Step: 1

Fractions that represent same amount are called equivalent fractions.

Step: 2

Represent the fraction 3 5 by using three 1 5 strips as below.

Step: 3

Line up 6 strips of 1 10 below the three1 5 strips.

Step: 4

As six 1 10 strips form the same amount as three 1 5 strips, 3 5 and 6 10 are equivalent fractions.

Step: 5

So, the equivalent fraction of 3 5 is 6 10 .

Correct Answer is : 6 10

Step: 1

To find an equivalent fraction, we have to multiply or divide the numerator and denominator by the same number.

Step: 2

Multiples of 2 are 2, 4, 6, 8, 10, and so on.

[Write the multiples of the numerator.]

Step: 3

Multiples of 9 are 9, 18, 27, 36, 45, and so on.

[Write the multiples of the denominator.]

Step: 4

Therefore, among the choices, 8 36 is the equivalent fraction of 2 9 .

Correct Answer is : 8 36

Step: 1

Let us use skip counting to find the set of numbers.

Step: 2

We observe from the pattern shown that the top numbers are counted by 1′s and the bottom numbers are skip counted by 3′s.

Step: 3

[The bottom numbers are skip counted by 3′s in order, so, count the top numbers in order, we get 4, 5, and 6.]

Step: 4

4, 5, and 6 is the set of numbers that completes the pattern shown.

Correct Answer is : 4, 5, and 6

Step: 1

From the number line, the point represented is 8 10 .

Step: 2

Fractions that represent the same amount are called equivalent fractions.

Step: 3

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

Step: 4

So, the fraction equivalent to the point given on the number line is 4 5 .

Correct Answer is : 4 5

Step: 1

Equivalent fractions are formed by multiplying or dividing the numerator and the denominator by the same number.

Step: 2

Divide the numerator and the denominator of 9 12 by 3.

Step: 3

=

Step: 4

So, the fraction equivalent to 9 12 is 3 4 .

Correct Answer is : 3 4

Step: 1

In the figure shown, 4 divisions are shaded out of 9 divisions.

Step: 2

The figure represents the fraction 4 9 .

Step: 3

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

Step: 4

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

Step: 5

The pair of fractions equivalent to the fraction modeled by shaded parts of the figure is 8 18 and 12 27 .

Correct Answer is : 8 18 and 12 27

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