The fractions are attached below
(a) [tex] \frac{5}{6} *\frac{?}{?}=\frac{15}{?} [/tex]
We need to find out 5 times what we multiply to get 15.
5 times 3 = 15
We multiply the left hand side fraction by 3. We multiply both numerator and denominator by 3 . 6 * 3= 18
[tex] \frac{5}{6} *\frac{3}{3}=\frac{15}{?} [/tex]
[tex] \frac{5}{6} *\frac{3}{3}=\frac{15}{18} [/tex]
(b) [tex] \frac{?}{3} *\frac{?}{?}=\frac{4}{6} [/tex]
We need to find out 3 times what we multiply to get 6.
3 times 2 = 6
We multiply the left hand side fraction by 2. We multiply both numerator and denominator by 3 . We know 2*2 = 4
[tex] \frac{?}{3} *\frac{2}{2}=\frac{?}{6} [/tex]
[tex] \frac{2}{3} *\frac{2}{2}=\frac{4}{6} [/tex]
(C) [tex] \frac{?}{2} *\frac{?}{?}=\frac{8}{16} [/tex]
We need to find out 2 times what we multiply to get 16.
2 times 8 = 16
We multiply the left hand side fraction by 8. We multiply both numerator and denominator by 8 . We know 1*8 = 8
[tex] \frac{?}{2} *\frac{8}{8}=\frac{8}{16} [/tex]
[tex] \frac{1}{2} *\frac{8}{8}=\frac{8}{16} [/tex]
(d) [tex] \frac{?}{4} *\frac{?}{?}=\frac{6}{24} [/tex]
We need to find out 4 times what we multiply to get 24.
4 times 6 = 24
We multiply the left hand side fraction by 6. We multiply both numerator and denominator by 6 . We know 1*6 = 6
[tex] \frac{?}{4} *\frac{6}{6}=\frac{6}{24} [/tex]
[tex] \frac{1}{4} *\frac{6}{6}=\frac{6}{24} [/tex]
