Respuesta :

Answer:

A pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex] .

Step-by-step explanation:

Given fractions are [tex]\frac{2}{3}[/tex] and [tex]\frac{5}{6}[/tex]

Find L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex]

3 = 3 × 1

6 = 2 × 3 × 1

L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex] is [tex]3[/tex]

Multiply numerator and denominator of [tex]\frac{2}{3}[/tex] by [tex]2[/tex].

[tex]\frac{2}{3}=\frac{2(2)}{3(2)} =\frac{4}{6}[/tex]

Therefore, pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex]