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

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

The equivalent fraction of 34 is 68.

Given, the fractions in the problem are equivalent.

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

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.

122 = 6

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

The missing numerator = 5.

Consider the following fractions strips.

We need to find the fraction from the choices that is equivalent to the fraction 34. We will use the fraction strips shown above.

The figure below shows 34 .

Consider each fraction listed one-by-one.

Line up the 12 fraction strip directly below the 34 fraction strip as shown. They don't match exactly, we observe some extra space, which means that 12 is less than 34.

Line up ten 112 fraction strip directly below the 34 fraction strip as shown. They don't match exactly, we observe some extra space, which means that 1012 is greater than 34.

Line up six 18 fraction strip directly below the 34 fraction strip as shown. They match exactly, which means that 68 is equivalent to 34.

98 need not be considered.

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

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

13 = 26 = 39 = 412 = . . .

So, 13 = 39 .

Fractions that represent same amount are called equivalent fractions.

Represent the fraction 35 by using three 15 strips as below.

Line up 6 strips of 110 below the three15strips.

As six 110 strips form the same amount as three 15 strips, 35 and 610are equivalent fractions.

So, the equivalent fraction of 35 is 610.

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

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

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

Therefore, among the choices, 836 is the equivalent fraction of 29.

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

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.

13 , 26 , 39 , 412 , 515 , 618

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

From the number line, the point represented is 810.

Fractions that represent the same amount are called equivalent fractions.

810 = 8÷210÷2 = 45

So, the fraction equivalent to the point given on the number line is 45.

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

Divide the numerator and the denominator of 912 by 3.

912 = 9÷312÷3
= 34

So, the fraction equivalent to 912 is 34 .

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

The figure represents the fraction 49.

49 = 4×29×2 = 818

49 = 4×39×3 = 1227

The pair of fractions equivalent to the fraction modeled by shaded parts of the figure is 818 and 1227.