Answer :
We want to divide
[tex]$$
1658 \div 25.
$$[/tex]
A clear step-by-step approach is given below.
1. First, we find the integer quotient. Notice that
[tex]$$
25 \times 66 = 1650.
$$[/tex]
Since
[tex]$$
1658 - 1650 = 8,
$$[/tex]
the integer division gives a quotient of 66 with a remainder of 8.
2. We can also express the remainder as a fraction of the divisor. That is,
[tex]$$
\frac{8}{25}.
$$[/tex]
So, the division can be written as
[tex]$$
66 \frac{8}{25}.
$$[/tex]
3. Additionally, converting the fraction [tex]$\frac{8}{25}$[/tex] to its decimal form, we have
[tex]$$
\frac{8}{25} = 0.32.
$$[/tex]
Thus, the decimal form of the quotient is
[tex]$$
66.32.
$$[/tex]
Among the options provided, the two answers that match are:
- The decimal value: [tex]$66.32$[/tex]
- The mixed number: [tex]$66 \frac{8}{25}$[/tex]
Both representations are correct and equivalent for the given division problem.
[tex]$$
1658 \div 25.
$$[/tex]
A clear step-by-step approach is given below.
1. First, we find the integer quotient. Notice that
[tex]$$
25 \times 66 = 1650.
$$[/tex]
Since
[tex]$$
1658 - 1650 = 8,
$$[/tex]
the integer division gives a quotient of 66 with a remainder of 8.
2. We can also express the remainder as a fraction of the divisor. That is,
[tex]$$
\frac{8}{25}.
$$[/tex]
So, the division can be written as
[tex]$$
66 \frac{8}{25}.
$$[/tex]
3. Additionally, converting the fraction [tex]$\frac{8}{25}$[/tex] to its decimal form, we have
[tex]$$
\frac{8}{25} = 0.32.
$$[/tex]
Thus, the decimal form of the quotient is
[tex]$$
66.32.
$$[/tex]
Among the options provided, the two answers that match are:
- The decimal value: [tex]$66.32$[/tex]
- The mixed number: [tex]$66 \frac{8}{25}$[/tex]
Both representations are correct and equivalent for the given division problem.
