Question

o: Write the equivalent fractions of each:
a) 2/3+3/4​

Answer 1

Step-by-step explanation:

2/3 + 3/4 = 2×2/3×3 = 4/6 and 3/4 = 3×3/4×4 = 9/16

in the given pair we see that the both terms are multiply by same no. both denominator and numerator

Answer 2

Answer:

Required equivalent fraction of 2/3+3/4 is 17/12.

Step-by-step explanation:

Here given,

$\frac{2}{3} + \frac{3}{4}$

Now,

$\frac{2}{3} + \frac{3}{4} \\ = \frac{2 \times 4 + 3 \times 3}{12} \\ = \frac{8 + 9}{12} \\ = \frac{17}{12}$

We know,

A fractions that have different numerators and denominators but have the same value is called equivalent fraction. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to ½. A fracture is part of a whole. Equivalent fractions represent the same part of the whole.

For each fraction, we can find its equivalent fraction by multiplying both the numerator and denominator by the same number. For example, we need to find a fraction equivalent to ⅔ thirds; then we need to multiply 2/3 by 3/3. So 2/3 × (3/3) = 6/9 is a fraction equal to 2/3.

Equivalent fractions indicate that two or more fractions are equal if they both yield the same fraction after simplifying. Suppose a/b and c/d are two fractions, after simplifying these fractions both give equivalent fractions say e/f then they are equal to each other.

For example, the equivalent fraction of 1/3 is 5/15, because if you simplify 5/15, the resulting fraction is the same.

Therefore, equivalent fraction of 2/3+3/4 is 17/12.

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