Name: laura
Who is asking: Parent
Question: Hi Laura, 1/2 as a sum of two unit fractions is easy: You will be able to extend this to a sum of ten unit fractions, noting that the last denominator is always even: so that = ^{1}/_{3} + ^{1}/_{9} + ^{1}/_{18}. Again we have = ^{1}/_{27} + ^{1}/_{81} + ^{1}/_{162}, so that = ^{1}/_{3} + ^{1}/_{9} + ^{1}/_{27} + ^{1}/_{81} + ^{1}/_{162}. Continuing in this way, you will write 1/2 as a sum of 10 different unit fractions. (Looking at the pattern in the denominators can you guess the correct answer?) Cheers,Claude
