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Fractions to decimal worksheets are great for practicing turning fractions into decimals and vice versa. You’ll learn how to change fractions into decimals using long division.
In a fraction, there are two parts: the top number (numerator) and the bottom number (denominator). They show how many parts we have out of the whole. You can think of the line between them as a division sign.
CBSE Class 7 Fractions to Decimal Worksheet – Download PDF
Class 7 Mathematics Worksheet 1 : Chapter 1 – Fractions to Decimal
Question 1: Convert the following fractions into decimals:
- a) \( \frac{3}{4} \)
- b) \( \frac{5}{8} \)
- c) \( \frac{2}{5} \)
Answer 1:
- a) \( \frac{3}{4} = 0.75 \)
- b) \( \frac{5}{8} = 0.625 \)
- c) \( \frac{2}{5} = 0.4 \)
Question 2: Convert the following fractions into decimals:
- a) \( \frac{7}{10} \)
- b) \( \frac{1}{2} \)
- c) \( \frac{4}{25} \)
Answer 2:
- a) \( \frac{7}{10} = 0.7 \)
- b) \( \frac{1}{2} = 0.5 \)
- c) \( \frac{4}{25} = 0.16 \) (rounded to two decimal places)
Question 3: Convert the following fractions into decimals:
- a) \( \frac{9}{20} \)
- b) \( \frac{3}{7} \)
- c) \( \frac{6}{15} \)
Answer 3:
- a) \( \frac{9}{20} = 0.45 \)
- b) \( \frac{3}{7} \) is approximately \( 0.4286 \) (rounded to four decimal places)
- c) \( \frac{6}{15} = 0.4 \)
Question 4: Convert the following fractions into decimals:
- a) \( \frac{2}{9} \)
- b) \( \frac{5}{6} \)
- c) \( \frac{7}{12} \)
Answer 4:
- a) \( \frac{2}{9} \) is approximately \( 0.2222 \) (rounded to four decimal places)
- b) \( \frac{5}{6} = 0.8333 \) (rounded to four decimal places)
- c) \( \frac{7}{12} \) is approximately \( 0.5833 \) (rounded to four decimal places)\
Benefits of Fractions to Decimal Worksheets
To change a fraction into a decimal, you divide the top number (numerator) by the bottom number (denominator). Decimals are really useful for everyday tasks. Think about things like measuring how tall someone is or figuring out how much to pay for something. If you don’t do the conversion correctly, you might lose accuracy. That’s why knowing how to switch between fractions and decimals is super handy in daily life.
Class 7 Fractions to Decimal Worksheet FAQ’s
What I learnt in fractions and decimals?
I learned about parts of a whole and how to express them as fractions or decimals.
Why do we use decimals instead of fractions?
Decimals are easier to work with for precise measurements, like money or scientific data.
What I found challenging in fraction and decimal Class 7?
Understanding how to convert between fractions and decimals was tricky for me.
Why do we use fractions over decimals?
Fractions are useful for representing parts of a whole, like slices of pizza or portions of a cake.
What is the relationship between fraction and decimal?
Fractions and decimals both represent parts of a whole; they are different ways of expressing the same thing.
