How do you simplify #1/8 - (3/4) ÷ 6/4# using order of operations?

Question

Genesis Allen · Accepted Answer

#color(red)(-3/8)#

#"Order of operation : BODMAS or PEMDAS"#

#(1/8) - (3/4) -: (6/4)#

#=> (1/8) - (3/4) * (4/6), " Division converted to multiplication"#

#=> (1/8) - cancel(3)/ cancel(4) * cancel(4) / cancel(6)^color(red)(2) = (1/8) - (1/2) " carrying out multiplication"#

#=> (1/8) - (1 * 4) / (2 * 4) = 1/8 - 4/8, " taking LCM"#

#=> (1 - 4) / 8 = -(3/8)#

Savannah Anderson · Answer

undefined To simplify $ \frac{1}{8} - \frac{3}{4} \div \frac{6}{4} $ using the order of operations, follow these steps:

1. Simplify the division: $ \frac{3}{4} \div \frac{6}{4} = \frac{3}{4} \times \frac{4}{6} = \frac{1}{2} $
2. Rewrite the expression: $ \frac{1}{8} - \frac{1}{2} $
3. Find a common denominator: $ \frac{1}{8} = \frac{1}{8} \times \frac{4}{4} = \frac{4}{32} $
4. Subtract the fractions: $ \frac{4}{32} - \frac{1}{2} = \frac{4}{32} - \frac{16}{32} = \frac{-12}{32} $
5. Simplify the fraction: $ \frac{-12}{32} = -\frac{3}{8} $

Therefore, $ \frac{1}{8} - \frac{3}{4} \div \frac{6}{4} = -\frac{3}{8} $.