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I need help solving this complex fraction

0 votes

25/4 ÷ 1/5-4/25

asked Oct 19, 2014 in ALGEBRA 2 by doan12345 Pupil

1 Answer

–1 vote

25/4 ÷ 1/5-4/25

To write the fractions with common denominator, find the least common denominator

Multiple of 4: 4, 8, 12, 16, 20, 24, 28,

list the prime factors of each number.

prime factors of 4 = 2 x 2 = 22.

prime factors of 1 = 1 = 11

prime factors of 25 = 5 x 5 = 52.

LCM is the product of each factor the greatest number of times it occurs in any number.
LCM = 22 * 11 * 52 = 100

Write the fractions with common denominator 100

25/4 ÷ 1/5-4/25 = (25*25 / 4*25) ÷ (20*1/5*20) - (4*25/25*4)

625/100 ÷ 20/100 - 16/100

To simplify the expression follow the order of operations: (PEMDAS)

  1. Evaluate the expressions inside Brackets/Parenthesis (P).
  2. Evaluate Powers/Exponents (E).
  3. Multiply and/or Divide in order from left to right (MD).
  4. Add and/or Subtract in order from left to right (AS).

 

Since there are no parenthesis and exponents first operation is division

= 625/20 - 16/100

= 3125/100 - 16/100

Next operation is subtraction

= 3109/100 or 31.09

Write the improper facrtion as mixed number

= 31 09/100

 

answered Oct 19, 2014 by anonymous

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