How do you write a quotient that gives the same answer as 4.65\ 0.12?
To write a quotient that gives the same answer as dividing 4.65 by 0.12, you can express it as a fraction or a decimal. Here are two ways to do it:
1. Fraction: To write it as a fraction, you can put 4.65 as the numerator and 0.12 as the denominator. So, the quotient as a fraction would be 4.65/0.12.
2. Decimal: To write it as a decimal, you can perform the division by dividing 4.65 by 0.12. Here's how you can do it:
a. Set up the division problem like this:
4.65 ÷ 0.12
b. Since 0.12 does not divide evenly into 4.65, you need to add decimal places to create a decimal quotient. Multiply both the dividend (4.65) and the divisor (0.12) by 100 to eliminate the decimal points, which doesn't change the value of the quotient:
465 ÷ 12
c. Now, you can perform the division:
┌───
12 │ 465
───
36
──
45
36
──
90
84
──
60
60
──
0
d. The decimal quotient is 38.75. Therefore, you can write the original quotient, 4.65 ÷ 0.12, as 38.75.
In summary, to write a quotient that gives the same answer as 4.65 ÷ 0.12, you can express it as either 4.65/0.12 or 38.75.