Unit 2 lesson 4 add fractions & decimals
In unit 2, lesson 4, you will learn how to add fractions and decimals. Adding fractions involves finding a common denominator and then adding the numerators. For example, if you have the fractions 1/4 and 3/8, you would first find a common denominator, which in this case is 8. You would then convert both fractions to have a denominator of 8, resulting in 2/8 and 3/8. Finally, you would add the numerators, giving you a final answer of 5/8.
Adding decimals is similar to adding whole numbers. You line up the decimal points and then add each place value together. For example, if you have the decimals 2.35 and 1.72, you would line up the decimal points and add the corresponding place values. In this case, you would have 2.35 + 1.72 = 4.07 as your final answer.
Sure! Here are the step-by-step instructions for adding fractions and decimals:
Adding Fractions:
Step 1: Make sure both fractions have the same denominator. If they don't, find the least common denominator (LCD).
Step 2: If the denominators are different, rewrite each fraction using the LCD.
Step 3: Add the numerators of the fractions together.
Step 4: Keep the same denominator.
Step 5: Simplify the fraction if needed. If possible, reduce it to its simplest form.
Example:
Let's add the fractions 1/4 and 3/8.
Step 1: The denominators are different (4 and 8). The LCD is 8.
Step 2: Rewrite the fractions using the LCD:
1/4 = 2/8 (multiply the numerator and denominator of the first fraction by 2)
3/8 = 3/8 (no change needed for the second fraction)
Step 3: Add the numerators: 2 + 3 = 5
Step 4: Keep the denominator: 8
Step 5: The fraction 5/8 is already in its simplest form, so the final answer is 5/8.
Adding Decimals:
Step 1: Align the decimal points of the numbers.
Step 2: Add the digits in each corresponding place value together.
Step 3: If one decimal number has fewer digits than the other, you can add zeros to make them the same length.
Step 4: Carry over any values exceeding 9 in a particular place value.
Step 5: Write the sum with the decimal point in the same position as in the original numbers.
Example:
Let's add the decimals 3.45 and 1.2.
Step 1: Align the decimal points:
3.45
+ 1.20
Step 2: Add the digits in each place value:
3 + 1 = 4 (in the whole number place)
4 + 0 = 4 (in the tenths place)
5 + 2 = 7 (in the hundredths place)
Step 3: Since both decimals have the same number of digits, no additional zeros are needed.
Step 4: There are no values exceeding 9 in any place value.
Step 5: Write the sum with the decimal point in the same position: 4.65
That's it! Now you know how to add fractions and decimals.