Question

How do you simplify `1 29/35 div 1 11/15 + 7/15`?

Answer 1

`1 712/1365`

Explanation:

Change to improper fractions first, then do the division.
DO the addition of the fractions last.

`1 29/35 div 1 11/15 + 7/15`

=`64/35 color(red)(div 26/15) +7/15`

=`64/35 color(red)(xx15/26) + 7/15 " "larr " cancel"`

=`cancel64^32/cancel35^7 xxcancel15^3/cancel26^13 + 7/15`

=`96/91 +7/15 = 1 5/91 + 7/15`

=`1 (5xx15 +7xx91)/(91xx15)`

=`1 (75+637)/1365`

=`1 712/1365`

What awful numbers to work with!