Question

using fractions:
a. write 5.3 as an improper fraction
5.3 = -
b. write 0.87 as a proper fraction.
0.87 = -
c. find the product of the two fractions above.

• × - = -

d. write the fractional product found in part c as a decimal.

Explanation:

Step1: Convert 5.3 to improper fraction

$5.3 = 5 + \frac{3}{10} = \frac{50}{10} + \frac{3}{10} = \frac{53}{10}$

Step2: Convert 0.87 to proper fraction

$0.87 = \frac{87}{100}$

Step3: Multiply the two fractions

$\frac{53}{10} \times \frac{87}{100} = \frac{53 \times 87}{10 \times 100} = \frac{4611}{1000}$

Step4: Convert product to decimal

$\frac{4611}{1000} = 4.611$

Answer:

a. $\frac{53}{10}$
b. $\frac{87}{100}$
c. $\frac{4611}{1000}$
d. $4.611$