Final answer:
Pairs of fractions equivalent to 1/2 could be 2/4, 3/6, or 4/8, whereas for 3/4, equivalent fractions include 6/8, 9/12, or 12/16. Multiplying both parts of a fraction by the same non-zero integer yields an equivalent fraction.
Step-by-step explanation:
Equivalent fractions
to
1/2
can be found by multiplying the numerator (1) and the denominator (2) by the same non-zero integer. For instance,
2/4
,
3/6
, or
4/8
are all equivalent to 1/2. Similarly, to find fractions equivalent to
3/4
, we perform the same operation of multiplying both the numerator (3) and the denominator (4) by the same non-zero integer, yielding fractions such as
6/8
,
9/12
, or
12/16
. These mathematical operations leverage the concept of a
common denominator
and the idea that as long as we apply the same operation to both numerator and denominator, the
value of the fraction remains unchanged
. Furthermore, understanding how to approach such problems can alleviate the stress about fractions through more intuitive methods like visualizing parts of a whole as slices of pie or segments of a dollar.