Question 2 (b) - Figure it out - Page 196 to 198 - Chapter 8 Class 7 - Working with Fractions (Ganita Prakash)

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Question 2 (b) 1/2 meter of ribbon is used to make 8 badges. What is the length of the ribbon used for each badge? (i) 8 × 1/2 (ii) 1/2 ÷ 1/8 (iii) 8 ÷ 1/2 (iv) 1/2 ÷ 8 Now, Number of ribbons = (𝑻𝒐𝒕𝒂𝒍 𝒍𝒆𝒏𝒈𝒕𝒉 𝒐𝒇 𝒓𝒊𝒃𝒃𝒐𝒏)/(𝑳𝒆𝒏𝒈𝒕𝒉 𝒐𝒇 𝒓𝒊𝒃𝒃𝒐𝒏 𝒖𝒔𝒆𝒅 𝒇𝒐𝒓 𝒆𝒂𝒄𝒉 𝒃𝒂𝒅𝒈𝒆) Thus, Length of ribbon used for each badge = (𝑇𝑜𝑡𝑎𝑙 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑟𝑖𝑏𝑏𝑜𝑛)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑟𝑖𝑏𝑏𝑜𝑛𝑠) = 𝟏/𝟐÷𝟖 = 1/2 ×1/8 = (1 × 1)/(2 × 8) = 𝟏/𝟏𝟔 meter Thus, 𝟏/𝟏𝟔 meter of ribbon is used for each badge Since expression is 𝟏/𝟐÷𝟖, option (iv) is correct