QUESTION A
We want to write the decimal [tex]0.7[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]0.7=\frac{0.7\times10}{10}[/tex]
We simplify the numerator by moving the decimal point forward once to obtain,
[tex]0.7=\frac{7}{10}[/tex]
QUESTION B
We want to write the decimal [tex]0.051[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]0.051=\frac{0.051\times1000}{1000}[/tex]
We simplify the numerator by moving the decimal point forward three times to obtain,
[tex]0.051=\frac{51}{1000}[/tex]
QUESTION C
We want to write the decimal [tex]0.473[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]0.473=\frac{0.473\times1000}{1000}[/tex]
We simplify the numerator by moving the decimal point forward three times to obtain,
[tex]0.473=\frac{473}{1000}[/tex]
QUESTION D
We want to write the decimal [tex]0.27[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]0.27=\frac{0.27\times100}{100}[/tex]
We simplify the numerator by moving the decimal point forward two times to obtain,
[tex]0.27=\frac{27}{100}[/tex]
QUESTION E
We want to write the decimal [tex]5.37[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]5.37=\frac{5.37\times100}{100}[/tex]
We simplify the numerator by moving the decimal point forward two times to obtain,
[tex]5.37=\frac{537}{100}[/tex]
We rewrite as a mixed number to obtain,
[tex]5.37=5\frac{37}{100}[/tex]
QUESTION F
We want to write the decimal [tex]16.49[/tex] as a fraction.
We multiply the decimal by multiples of [tex]10[/tex] until we get a whole number. We then divide the result by the same product of [tex]10[/tex] we used to multiply the decimal.
This implies that,
[tex]16.49=\frac{16.49\times100}{100}[/tex]
We simplify the numerator by moving the decimal point forward two times to obtain,
[tex]16.49=\frac{1649}{100}[/tex]
We rewrite as a mixed number to obtain,
[tex]16.49=16\frac{49}{100}[/tex]
