Q:

11/15 + 2/3 ÷1 1/2 − 7 /30

Accepted Solution

A:
=11/15+2/3÷11/2-7/30
Order of operations: no parentheses, multiplication or exponents, so we do division first. Must multiply by the reciprocal of 11/2 for the division.

=11/15+(2/3*2/11)-7/30
=11/15+4/33-7/30

Addition is next but we need common denominators. Simplest way is to multiply the two highest (33 and 30) denominators and see if the lower (15) denominator will also go into that number. 33*30=990 new denominator. There may be a lower common denominator, but this is easier.

=11/15+4/33-7/30
=726/990 + 120/990 - 231/990
Addition first
=846/990 - 231/990
=615/990
Simplify by greatest common factor, in this case it's 15
=41/66

decimal equivalent= 0.6212

Hope this helps! :)