Fractions and decimals (T1 W5)
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Fractions represent parts of a whole. For example, if we have a pizza divided into 4 equal slices and we take 1 slice, we have 1/4 of the pizza. The top number (numerator) shows how many parts we have, and the bottom number (denominator) shows how many equal parts the whole is divided into. We can also use visual models like pie charts or fraction bars to help us understand fractions better.
Decimals are another way to represent parts of a whole, similar to fractions. For instance, 0.5 is the same as 1/2. The number to the left of the decimal point represents whole numbers, while the numbers to the right represent parts of a whole. Visual models, such as base ten blocks, can help us see how decimals work in relation to fractions.
If we have a chocolate bar divided into 8 equal pieces and we eat 3 pieces, we can represent this as the fraction 3/8. Here, 3 is the numerator (the pieces we ate) and 8 is the denominator (the total pieces). We can draw the chocolate bar and shade in 3 out of the 8 pieces to visualize this fraction.
To convert the fraction 1/4 to a decimal, we can divide the numerator (1) by the denominator (4). This gives us 0.25. We can also use a visual model, such as a grid, to show that 1 out of 4 equal parts is represented by 0.25.
Let's work together on a problem. If we have a fruit basket with 6 apples and we take 2, what fraction of the apples do we have? We can represent this as 2/6. Now, let's simplify this fraction. Can anyone tell me what 2/6 simplifies to? (Answer: 1/3). We can draw the apples and shade in the 2 we took to visualize this.
Now, let's convert the fraction 3/10 into a decimal. We divide 3 by 10, which gives us 0.3. Let's use a number line to show where 0.3 is located between 0 and 1. Can anyone think of a real-life example where we might use 0.3? (Answer: 30 cents in money).
Now it's your turn! Solve these problems on your own. 1. If you have 5 slices of cake and eat 2, what fraction of the cake did you eat? (Answer: 2/5). 2. Draw a circle and shade in 1/2 of it. 3. If a pizza is cut into 8 slices and you eat 3, what fraction is left? (Answer: 5/8).
Complete these decimal problems. 1. Convert 1/2 to a decimal. (Answer: 0.5). 2. If you have 0.75 of a dollar, how much is that in cents? (Answer: 75 cents). 3. Write the decimal for 4/10. (Answer: 0.4).
Answer: 0.5
1/2 equals 0.5 when converted to a decimal.
Answer: 3/6
You have eaten 3 out of 6 slices, which is represented as 3/6.
Answer: 0.25
0.25 is the decimal representation of the fraction 1/4.
Answer: 0.3
3 divided by 10 equals 0.3.
Answer: 1/2
0.5 is equivalent to the fraction 1/2.
Answer: 4/8
If you eat 4 pieces, 4 pieces remain, which is 4/8.
Answer: 0.25
1/4 is equal to 0.25 in decimal form.
Answer: 40 cents
2/5 of a dollar is 0.4 dollars, which is 40 cents.