Evaluate the expression. Express your answer to the nearest whole number. $$ \frac{16}{4} imes \frac{100}{88} imes \frac{1,600}{250} imes \frac{10}{50}= $$ Enter a number as an exact integer or decimal. eBook

Question

Evaluate the expression. Express your answer to the nearest whole number. $$ \frac{16}{4} 	imes \frac{100}{88} 	imes \frac{1,600}{250} 	imes \frac{10}{50}= $$ Enter a number as an exact integer or decimal. eBook

UpStudy AI · Accepted Answer

We begin by rewriting the expression as

$$
\frac{16}{4} \times \frac{100}{88} \times \frac{1600}{250} \times \frac{10}{50}.
$$

**Step 1.** Simplify each fraction:

$$
\frac{16}{4} = 4,
$$

$$
\frac{100}{88} = \frac{25}{22},
$$

$$
\frac{1600}{250} = \frac{32}{5} \quad\text{(dividing numerator and denominator by 50)},
$$

$$
\frac{10}{50} = \frac{1}{5}.
$$

**Step 2.** Multiply the simplified values:

$$
4 \times \frac{25}{22} \times \frac{32}{5} \times \frac{1}{5}.
$$

**Step 3.** Rearrange and combine:

$$
= \frac{4 \times 25 \times 32 \times 1}{22 \times 5 \times 5}.
$$

**Step 4.** Multiply the numerators and denominators:

$$
\text{Numerator: } 4 \times 25 \times 32 = 3200,
$$

$$
\text{Denominator: } 22 \times 5 \times 5 = 550.
$$

Thus, the expression becomes

$$
\frac{3200}{550}.
$$

**Step 5.** Simplify by dividing numerator and denominator by 10:

$$
= \frac{320}{55}.
$$

Further divide numerator and denominator by 5:

$$
= \frac{64}{11}.
$$

**Step 6.** Evaluate the fraction:

$$
\frac{64}{11} \approx 5.81818.
$$

**Step 7.** Round to the nearest whole number:

$$
5.81818 \text{ rounds to } 6.
$$

The final answer is $$6$$.
The final answer is 6.

Evaluate the expression. Express your answer to the nearest whole number. \( \frac{16}{4} \times \frac{100}{88} \times \frac{1,600}{250} \times \frac{10}{50}= \) Enter a number as an exact integer or decimal. eBook

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