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

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Answer 1 · 2016-09-04T12:15:05

$1 712/1365$

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!

How do you simplify 1 29/35 div 1 11/15 + 7/151 29/35 div 1 11/15 + 7/15?