To find two equivalent fractions for 7/8 and 5/6, multiply both the numerator and denominator of each fraction by the same non-zero number. For example, 7/8 can be expressed as 14/16, and 5/6 as 10/12.
To find equivalent fractions for 7/8 and 5/6 using multiplication, we choose a common factor to multiply both the numerator and denominator of each fraction. In this case, we can select 2 as a common factor.
For 7/8, when we multiply both the numerator and denominator by 2, we get 14/16. This is an equivalent fraction, as we have essentially scaled up the original fraction by a factor of 2.
Similarly, for 5/6, multiplying both the numerator and denominator by 2 gives 10/12. Again, this is an equivalent fraction where both parts have been multiplied by the same factor.
These equivalent fractions maintain the same relative proportion as the original fractions but have different numerators and denominators. The process of finding equivalent fractions through multiplication allows for the expression of the same quantity in different terms, often to facilitate mathematical operations or comparisons.