Final answer:
The fraction that lies between 0.70 and 0.75 on the number line is 0.71.
Step-by-step explanation:
The fraction that lies between 0.70 and 0.75 on the number line is 0.71. To find this, we can look at the tenth place value of the decimals. 0.70 is in the tenths place, and 0.75 is also in the tenths place.
To find the fraction that lies between them, we can use the common denominator of 100 and convert the decimals to fractions. 0.70 is equivalent to the fraction 70/100, and 0.75 is equivalent to the fraction 75/100.
The fraction 71/100 lies between these two fractions.