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Question Geeta bought \(\frac{2}{5}\) meter of lace and Shamim bought \(\frac{3}{4}\) meter of the same lace to put a complete border on a table cloth whose perimeter is 1 meter long. Find the total length of the lace they both have bought. Will the lace be sufficient to cover the whole border?
Length of lace bought by Geeta = \(\frac{2}{5}\) m
Length of lace bought by Shamim = \(\frac{3}{4}\) m
Total length of lace bought = \(\frac{2}{5}\) + \(\frac{3}{4}\)
LCM of 5 and 4 is 20.
\(\frac{2}{5}=\frac{2}{5} \times \frac{4}{4}=\frac{8}{20}\)
\(\frac{3}{4}=\frac{3}{4} \times \frac{5}{5}=\frac{15}{20}\)
\(\frac{8}{20}+\frac{15}{20}=\frac{23}{20}= 1 \frac{3}{20}\)
This length is more than 1 m. So, lace is more than sufficient or will be left extra after covering the border.
7.9 Relation to Number Sequences Figure it Out (Page No. 181)