Grade 5 Decimal Fractions

Step 1: Identify the whole number part and the decimal part, separated by the decimal point.
Whole number part: 123
Decimal part: 45

Step 2: Determine the place value of each digit in the whole number part (to the left of the decimal point).
- 3 is in the Ones place.
- 2 is in the Tens place.
- 1 is in the Hundreds place.

Step 3: Determine the place value of each digit in the decimal part (to the right of the decimal point).
- 4 is in the Tenths place (1/10).
- 5 is in the Hundredths place (1/100).

Step 4: Therefore, in 123.45:
- The place value of 1 is Hundreds (100).
- The place value of 2 is Tens (10).
- The place value of 3 is Ones (1).
- The place value of 4 is Tenths (0.1 or 1/10).
- The place value of 5 is Hundredths (0.01 or 1/100).

Step 1: To convert a fraction to a decimal, divide the numerator by the denominator.
Divide 3 by 4.

Step 2: Perform the division.

    0.75
  ____
4 | 3.00
   -2 8
   ----
     20
    -20
    ----
      0

Step 3: The result of the division is 0.75.

Step 4: Therefore, the fraction 3/4 is equivalent to the decimal 0.75.

Step 1: Identify the place value of the last digit in the decimal. In 0.6, the digit 6 is in the tenths place.

Step 2: Write the decimal as a fraction with the decimal digits as the numerator and the place value of the last digit as the denominator.
The decimal is 0.6. The digit 6 is in the tenths place.
The fraction is 6/10.

Step 3: Simplify the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).
The GCD of 6 and 10 is 2.
Divide numerator and denominator by 2:
6 ÷ 2 = 3
10 ÷ 2 = 5
The simplified fraction is 3/5.

Step 4: Therefore, the decimal 0.6 is equivalent to the fraction 3/5.

Step 1: Write the numbers vertically, aligning the decimal points. Add zeros to the right of the decimal point so both numbers have the same number of decimal places.

  3.45
+ 1.20
------

Step 2: Add the numbers as you would with whole numbers, starting from the rightmost digit.

  3.45
+ 1.20
------
  4.65

Step 3: Place the decimal point in the sum directly below the decimal points in the numbers being added.

Step 4: Therefore, 3.45 + 1.2 = 4.65.