Video Transcript
Find the value of three-tenths plus
one-tenth. Give your answer in its simplest
form.
We begin by noting that we have two
rational numbers with the same denominator. Since the denominator is nonzero,
we can use the rule 𝑎 over 𝑏 plus 𝑐 over 𝑏 is equal to 𝑎 plus 𝑐 over 𝑏. When adding two fractions with the
same denominator, we simply add their numerators. This means that three over 10 plus
one over 10 is equal to three plus one over 10. And this simplifies to four over 10
or four-tenths.
We are asked to give our answer in
its simplest form, so we need to check whether the numerator and denominator have
any common factors apart from one. As both four and 10 are even, we
can divide the numerator and denominator by two. The fraction four-tenths simplifies
to two-fifths. We can therefore conclude that the
value of three-tenths plus one-tenth in its simplest form is two-fifths.
