Fractions | A

Question 1

Find out and discuss the words for fractions that are used in the different languages spoken in your home, city, or state. Ask your grandparents, parents, teachers, and classmates what words they use for different fractions, such as for one and a half, three quarters, one and a quarter, half, quarter, and two and a half, and write them here:

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Solution

We will explore how different languages name common fractions.

Step 1 — Gathering Information

We will ask our family and teachers. We will also ask our classmates. We will look at English, Hindi, and Marathi words. These languages are common in our state.

Step 2 — Words for Fractions

Let us list the words for each fraction.

For the fraction 12\frac{1}{2}: English: half\text{English: } \textbf{half} Hindi: aadha (आधा)\text{Hindi: } \textbf{aadha} \text{ (आधा)} Marathi: ardha (अर्धा)\text{Marathi: } \textbf{ardha} \text{ (अर्धा)}

Words for 12:half, aadha, ardha\boxed{\text{Words for } \frac{1}{2}: \text{half, aadha, ardha}}

For the fraction 14\frac{1}{4}: English: quarter\text{English: } \textbf{quarter} Hindi: chauthai (चौथाई)\text{Hindi: } \textbf{chauthai} \text{ (चौथाई)} Marathi: pav (पाव)\text{Marathi: } \textbf{pav} \text{ (पाव)}

Words for 14:quarter, chauthai, pav\boxed{\text{Words for } \frac{1}{4}: \text{quarter, chauthai, pav}}

For the fraction 34\frac{3}{4}: English: three quarters\text{English: } \textbf{three quarters} Hindi: pauna (पौना)\text{Hindi: } \textbf{pauna} \text{ (पौना)} Marathi: paun (पाऊण)\text{Marathi: } \textbf{paun} \text{ (पाऊण)}

Words for 34:three quarters, pauna, paun\boxed{\text{Words for } \frac{3}{4}: \text{three quarters, pauna, paun}}

For the fraction 1121\frac{1}{2}: English: one and a half\text{English: } \textbf{one and a half} Hindi: dedh (डेढ़)\text{Hindi: } \textbf{dedh} \text{ (डेढ़)} Marathi: dedh (दीड)\text{Marathi: } \textbf{dedh} \text{ (दीड)}

Words for 112:one and a half, dedh, dedh\boxed{\text{Words for } 1\frac{1}{2}: \text{one and a half, dedh, dedh}}

For the fraction 1141\frac{1}{4}: English: one and a quarter\text{English: } \textbf{one and a quarter} Hindi: sawa (सवा)\text{Hindi: } \textbf{sawa} \text{ (सवा)} Marathi: sava (सव्वा)\text{Marathi: } \textbf{sava} \text{ (सव्वा)}

Words for 114:one and a quarter, sawa, sava\boxed{\text{Words for } 1\frac{1}{4}: \text{one and a quarter, sawa, sava}}

For the fraction 2122\frac{1}{2}: English: two and a half\text{English: } \textbf{two and a half} Hindi: adhai (अढ़ाई)\text{Hindi: } \textbf{adhai} \text{ (अढ़ाई)} Marathi: adhich (अडीच)\text{Marathi: } \textbf{adhich} \text{ (अडीच)}

Words for 212:two and a half, adhai, adhich\boxed{\text{Words for } 2\frac{1}{2}: \text{two and a half, adhai, adhich}}

Step 3 — Discussing Our Findings

We can see some interesting patterns. English uses simple combinations of numbers. For example, "one and a half" means 1+121 + \frac{1}{2}. Hindi and Marathi often have special words. For example, dedh means 1121 \frac{1}{2}. Sawa means 1141 \frac{1}{4}. Pauna means 34\frac{3}{4}. Adhai means 2122 \frac{1}{2}. These special words are very common. They make talking about fractions quicker. It is like a shortcut in language. Some words are similar between Hindi and Marathi. For example, dedh and dīd are alike. Sawa and savva are also similar. This shows how languages can be connected. This exploration was very interesting.

Answer

(i) The words for fractions in English, Hindi, and Marathi are listed above. (ii) English combines numbers and basic fraction words. (iii) Hindi and Marathi often use special single words for common fractions. These words act as shortcuts. (iv) Some Hindi and Marathi words for fractions are very similar.

More questions in A

Q1

Find out and discuss the words for fractions that are used in the different languages spoken in your home, city, or state. Ask your grandparents, parents, teachers, and classmates what words they use for different fractions, such as for one and a half, three quarters, one and a quarter, half, quarter, and two and a half, and write them here:

Q2

Can you find four different fractional units that add up to 1?

It turns out that this problem has six solutions! Can you find at least one of them? Can you find them all? You can try using similar reasoning as in the cases of two and three fractional units—or find your own method!

Once you find one solution, try to divide a circle into parts like in the figure above to visualise it!

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