Question

4. Convert the following Fractions into decimal numbers: iii. 7.025 iv. 95.95​

Answer 1

Answer:

Decimals into Fractions

(i) 7025/1000

(ii) 9595/100

Step-by-step explanation:

(1) Find the GCD (or HCF) of numerator and

denominator

numerator = 7025

denominator = 1000

GCD of 7025 and 1000 is 25

Divide both the numerator and denominator by

the GCD

7025 ÷ 25 = 281

1000 ÷ 25 = 40

Putting numerator and denominator into

reduced fraction: 281/40

Therefore, 7025/1000 simplified to lowest terms is 281/40.

Hence, 7.025 = 281/40

(2) Find the GCD (or HCF) of numerator and

denominator

numerator = 9595

denominator = 100

GCD of 9595 and 100 is 5.

Divide both the numerator and denominator by

the GCD

9595 ÷ 5 = 1919

100 ÷ 5 = 20

Putting numerator and denominator into

reduced fraction: 1919/20

Therefore, 9595/100 simplified to lowest terms is 1919/20.

Hence, 95.95 = 1919/20

Answer 2

Answer:

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