Analyzing First-Language Speakers of Widely Spoken Languages

The question asks us to find the fraction of first-language speakers among the seven most widely spoken languages who speak either Spanish or French. To do this, we first need to determine the total number of first-language speakers for these seven languages and the number of first-language speakers for Spanish and French combined, based on the provided table.

Data on Most Widely Spoken Languages

Let's look at the data provided in the table regarding the number of first-language speakers for each of the seven most widely spoken languages.

Calculating the Fraction of Spanish or French First-Language Speakers

To find the required fraction, we will follow these steps:

1. Identify the number of first-language speakers for Spanish and French.
2. Calculate the total number of first-language speakers for all seven languages.
3. Sum the number of first-language speakers for Spanish and French.
4. Divide the combined number of Spanish and French speakers by the total number of speakers for the seven languages.

Step 1: Identify Speakers of Spanish and French

• Number of first-language speakers of Spanish = 280 million
• Number of first-language speakers of French = 220 million

Step 2: Calculate Total First-Language Speakers of the Seven Languages

We sum the number of first-language speakers for all seven languages:

\( \text{Total Speakers} = 1386 + 1000 + 280 + 270 + 220 + 160 + 140 \)

\( \text{Total Speakers} = 3456 \text{ million} \)

Note: Re-summing values from the table: 1386 + 1000 + 280 + 270 + 220 + 160 + 140 = 3456 million. There seems to be a slight difference if using the provided answer, let's check if the sum in the prompt text (3/7 of world population) is relevant here. The question specifically asks based on the data in the table. So we must use the sum from the table values. Let's recalculate: 1386 + 1000 = 2386, 2386 + 280 = 2666, 2666 + 270 = 2936, 2936 + 220 = 3156, 3156 + 160 = 3316, 3316 + 140 = 3456. The total from the table is indeed 3456 million. Let's proceed with this total.

Step 3: Calculate Combined Spanish and French Speakers

We sum the number of first-language speakers for Spanish and French:

\( \text{Spanish or French Speakers} = 280 + 220 \)

\( \text{Spanish or French Speakers} = 500 \text{ million} \)

Step 4: Determine the Fraction

Now, we find the fraction of Spanish or French speakers out of the total speakers for the seven languages:

\( \text{Fraction} = \frac{\text{Spanish or French Speakers}}{\text{Total Speakers}} \)

\( \text{Fraction} = \frac{500}{3456} \)

Let's simplify this fraction and compare it to the options.

\( \frac{500}{3456} \)

Both numerator and denominator are divisible by 4:

\( \frac{500 \div 4}{3456 \div 4} = \frac{125}{864} \)

Now let's compare this fraction (\( \frac{125}{864} \approx 0.1447 \)) with the decimal values of the options:

• 1/10 = 0.1
• 1/7 \( \approx \) 0.1428
• 1/6 \( \approx \) 0.1667
• 1/5 = 0.2

Comparing the calculated fraction \( \frac{125}{864} \) (approximately 0.1447) with the options, the closest value is 1/7 (approximately 0.1428).

Therefore, the fraction of first-language speakers of the seven most widely spoken languages that speak Spanish or French most closely represents 1/7.

Revision Table: Widely Spoken Languages

Additional Information: Language Data Insights

The provided text also contains interesting facts about languages beyond the first-language speakers of the top seven:

• There are 3800 known languages spoken worldwide.
• 1/7 of these known languages are expected to die out over the next 40 years.
• 72.5% of these known languages are predicted to die out in the next 100 years.
• 3/7 of the world's population speaks one of the seven most widely spoken languages as a first language.
• A further 1.7 billion people speak one of the seven languages as a second language.

These points highlight the dynamic nature of global language distribution and the significant number of people who use these major languages as second languages, further increasing their global reach.