How do you simplify #(2 3/4 - 3/8) div2/5#?

Question

Eva Adamson · Accepted Answer

#=> color(teen)(5(15/16)# #(2(3/4) - (3/8)) / (2/5)# #=> (2(6/8) - (3/8) ) / (2/5)# making Denominator common for the terms in the numerator. #=> ((22/8) - (3/8)) / (2/5)# #=> ((22 - 3) / 8) * (5/2)# #=> (19 * 5) / (8 * 2) = 95 / 16# #=> color(teen)(5(15/16)#

Genesis Allen · Answer

As below.

#(2(3/4) - (3/8)) / (2/5)# #=> (2(6/8) - (3/8) ) / (2/5)# making Denominator common for the terms in the numerator. #=> (2(6/8 - 3/8)) / (2/5) = 2((6-3)/8) * (5/2)# #=> = 2(3/8) * (5/2)# #=> (19/8)(5/2) = 95 / 16 = 5(15/16)#

Hazel Anglin · Answer

undefined To simplify the expression $ \frac{{2 \frac{3}{4} - \frac{3}{8}}}{{\frac{2}{5}}} $, first convert the mixed number $ 2 \frac{3}{4} $ to an improper fraction:

$ 2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4} $

Now, we rewrite the expression with the fractions:

$ \frac{\frac{11}{4} - \frac{3}{8}}{\frac{2}{5}} $

To subtract fractions, we need a common denominator, which is 8 in this case:

$ \frac{\frac{11}{4} \times \frac{2}{2} - \frac{3}{8}}{\frac{2}{5}} $

$ \frac{\frac{22}{8} - \frac{3}{8}}{\frac{2}{5}} $

Now, subtract the fractions:

$ \frac{22 - 3}{8} \div \frac{2}{5} $

$ \frac{19}{8} \div \frac{2}{5} $

To divide fractions, multiply by the reciprocal of the divisor:

$ \frac{19}{8} \times \frac{5}{2} $

$ \frac{19 \times 5}{8 \times 2} $

$ \frac{95}{16} $

So, $ (2 \frac{3}{4} - \frac{3}{8}) \div \frac{2}{5} $ simplifies to $ \frac{95}{16} $.