High School

Convert [tex]$15 / 9$[/tex] to a decimal.

A) 1.67
B) 1.69
C) 1.64
D) 1.66

Answer :

To convert [tex]\( \frac{15}{9} \)[/tex] to a decimal, you divide 15 by 9.

1. Start by dividing 15 by 9.
2. 9 goes into 15 once (since 9 x 1 = 9). This gives us the whole number part, which is 1.
3. Subtract 9 from 15, which leaves you with 6.
4. Now, bring down a zero to make it 60.
5. 9 goes into 60 six times (since 9 x 6 = 54). This means you have .6 as part of the decimal.
6. Subtract 54 from 60, which leaves you with 6 again.
7. Bring down another zero to make it 60 again.
8. Repeat the division, and you'll get another 6.

This process continues with the remainder 6 repeating, which means the decimal repeats. So, [tex]\( \frac{15}{9} \)[/tex] is approximately 1.666... or, rounded to two decimal places, 1.67.

Therefore, the correct choice is A) 1.67.