convert each of these decimal into fraction in its simplest form.

a)0.179
b)0.125
c)0.003
d)3.8
e)2.5

a)0.179 = 179/1000

b)0.125 = 125/1000 = 1/8

c)0.003 = ?

d)3.8 = 3 8/10 = 2 4/5

e)2.5 = ?

I'll be glad to check your answers to c and e.

3/1000

a) To convert 0.179 into a fraction, we can write it as 179/1000. Since the numerator and denominator have no common factors other than 1, the fraction is already in its simplest form.

b) To convert 0.125 into a fraction, we can write it as 125/1000. Both the numerator and denominator have a common factor of 125, so we can simplify the fraction by dividing both the numerator and denominator by 125. The simplest form of 0.125 is 1/8.

c) To convert 0.003 into a fraction, we can write it as 3/1000. Since the numerator and denominator have no common factors other than 1, the fraction is already in its simplest form.

d) To convert 3.8 into a fraction, we can write it as 38/10. The numerator and denominator have a common factor of 2, so we can simplify the fraction by dividing both the numerator and denominator by 2. The simplest form of 3.8 is 19/5.

e) To convert 2.5 into a fraction, we can write it as 5/2. The numerator and denominator have no common factors other than 1, so the fraction is already in its simplest form.

To convert decimals into fractions in their simplest form, follow these steps:

a) For 0.179:
Step 1: Count the number of decimal places, which is 3.
Step 2: Write the decimal as a fraction with the numerator being the decimal value without the decimal point, and the denominator being 10 raised to the power of the number of decimal places.
Fraction: 0.179 = 179/1000

b) For 0.125:
Step 1: Count the number of decimal places, which is 3.
Step 2: Write the decimal as a fraction with the numerator being the decimal value without the decimal point, and the denominator being 10 raised to the power of the number of decimal places.
Fraction: 0.125 = 125/1000

c) For 0.003:
Step 1: Count the number of decimal places, which is 3.
Step 2: Write the decimal as a fraction with the numerator being the decimal value without the decimal point, and the denominator being 10 raised to the power of the number of decimal places.
Fraction: 0.003 = 3/1000

d) For 3.8:
Step 1: Write the whole number part as the numerator.
Step 2: Write the decimal part as the numerator, and the denominator is always 10 raised to the power of the number of decimal places.
Fraction: 3.8 = 3 + 8/10 = 3 + 4/5 = (3 * 5 + 4) / 5 = 19/5

e) For 2.5:
Step 1: Write the whole number part as the numerator.
Step 2: Write the decimal part as the numerator, and the denominator is always 10 raised to the power of the number of decimal places.
Fraction: 2.5 = 2 + 5/10 = 2 + 1/2 = (2 * 2 + 1) / 2 = 5/2

So, the fractions in their simplest forms are:
a) 0.179 = 179/1000
b) 0.125 = 125/1000
c) 0.003 = 3/1000
d) 3.8 = 19/5
e) 2.5 = 5/2