The length of a line segment AB is of the length of the line segment CD. The length of another line segment EF is of the length of the line segment AB. What fraction of thelength of CD is equal to the length of EF? If CD = 4 cm then find the length of EF.

The length of a line segment AB is of the length of the line segment C

1.	The length of a line segment AB is of the length of the line segment CD. The length of another line segment EF is of the length of the line segment AB. What fraction of thelength of CD is equal to the length of EF? If CD = 4 cm then find the length of EF.
Answer» Let x be the length of CD.It is given that length of a line segment AB is 2/3 of the length of the line segment CD.AB=\frac{2}{3}CDAB=32CDAB=\frac{2}{3}xAB=32xThe length of another line segment EF is 3/8 of the length of the line segment AB.EF=\frac{3}{8}AB=\frac{3}{8}(\frac{2}{3}x)=\frac{1}{4}xEF=83AB=83(32x)=41xEF=\frac{1}{4}CDEF=41CDTherefore, EF is 1/4 of the length of the line segment CD.It is given that CD=4 cm,EF=\frac{1}{4}(4)=1EF=41(4)=1If CD=4 cm, then EF = 1cm.#Learn moreThe length of a line segment AB is 2/3 of the length of the line segment CD.the length of another line segment EF is 3/8 of the length of the line segment AB.what FRACTION of the length of CD is EQUAL to the length of EF? if CD=4cm then find the length of EF.