Question

what is a rational number between 1/4and 1/2​

Answer 1

Answer:

One rational number between 1/4 & 1/2 Step 1: Make denominator same 1/4 =1/4 and 1/2 × 2/2=2/4 Step 2: Since we need one rational number, we multiply and divide by 2. 1/4 × 2/2 = 2/8 2/4 × 2/2 = 4/8 ∴ One rational number is /

Answer 2

Answer and step by step explanation :

The rational number between 1/4 and 1/2=x

ASSUMPTIONS

Let x=the rational number equidistant between 1/4 and 1/2

CALCULATIONS

1/2–1/4=x

x=1/2–1/4 (Convert the fractions to a common denominator such as 8 and determine the difference)=

x=(4/8)+(2/8)/2

x=[(4+2)/8]/2

x=(6/8)/2

x=6/8(1/2)

x=(6×1)/(8×2)

x=6/16

x=

3/8

PROOF

If x=3/8, then x=a rational number equidistant between 1/4 and 1/2:

(1/4+1/2)/2=3/8

(2/8+4/8)/2=3/8

(6/8)/2=3/8

(6/8)(1/2)=3/8

6/16=3/8

3/8=3/8 proves that x=3/8 is equidistant between 1/4 and 1/2

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