Expressing Rational Numbers as Fractions

Write Rational Numbers in Fraction Form

Problems

a. −3

b. −0.31

c. 325

d. 2.5

Solution

a. −3 = −31

∵ Any integer can be written as a fraction with denominator 1

∴ −3 = −31

b. −0.31 = −31100

∵ 0.31 has 2 decimal places, so we use 100 as denominator

∴ −0.31 = −31100

c. 325 = (3 × 5) + 25 = 175

∵ Mixed number: whole part × denominator + numerator

Step 1: 3 × 5 = 15

Step 2: 15 + 2 = 17

∴ 325 = 175

d. 2.5 = 2510 = 52

∵ 2.5 has 1 decimal place, so we use 10 as denominator

Step 1: 2.5 = 2510

Step 2: Simplify by dividing both numerator and denominator by 5

∴ 2.5 = 52

Created with Mr. Ayman Hassan for Math Egypt Lovers

Math Egypt