Mbali has to add the following numbers but her calculator does not have a fraction key, help her to add numbers using her calculator
3 1/9;2 5/6-21/4;1 1/5
28/9 ,17/6 ,9/4 ,6/5
To add these numbers using a calculator without a fraction key, you can convert the fractions to decimals and then perform the addition.
Step 1: Convert the fractions to decimals.
- For 3 1/9, divide 1 by 9: 1 ÷ 9 = 0.1111 (rounding to four decimal places).
- For 2 5/6, divide 5 by 6: 5 ÷ 6 = 0.8333 (rounding to four decimal places).
- For 21/4, divide 21 by 4: 21 ÷ 4 = 5.25.
- For 1 1/5, divide 1 by 5: 1 ÷ 5 = 0.2.
Now we have the following decimal numbers:
3 1/9 = 3.1111
2 5/6 = 2.8333
21/4 = 5.25
1 1/5 = 1.2
Step 2: Add the decimal numbers.
3.1111 + 2.8333 + 5.25 + 1.2 = 12.3944 (rounding to four decimal places).
Therefore, the sum of the given numbers is approximately 12.3944.
To add fractions using a calculator that does not have a fraction key, you can convert the fractions into decimal form and then add the decimals. Here's how you can help Mbali add the given numbers:
1) Convert mixed numbers into improper fractions:
The first number is already given as a mixed number, 3 1/9. To convert it into an improper fraction, multiply the whole number (3) by the denominator (9) and add the numerator (1). This gives us 28/9.
The second number, 2 5/6, can be converted into an improper fraction by multiplying the whole number (2) by the denominator (6) and adding the numerator (5). This gives us 17/6.
The third number, 21/4, is already in the form of a fraction.
2) Add the fractions:
To add fractions, they must have a common denominator. In this case, the common denominator for 9, 6, and 4 is 36. We need to convert all fractions to have a denominator of 36.
To convert 28/9 into a fraction with a denominator of 36, multiply both the numerator and denominator by 4. This gives us (28 * 4) / (9 * 4) = 112/36.
To convert 17/6 into a fraction with a denominator of 36, multiply both the numerator and denominator by 6. This gives us (17 * 6) / (6 * 6) = 102/36.
No conversion is needed for 21/4, as its denominator is already 4.
3) Add the fractions with the same denominator:
Now that all the fractions have a common denominator of 36, you can add them together. Add the numerators of all the fractions and keep the same denominator: 112/36 + 102/36 + 21/4.
112/36 + 102/36 = (112 + 102) / 36 = 214/36.
4) Simplify the fraction (optional):
The fraction 214/36 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. Divide both 214 and 36 by 2 to get 107/18.
Therefore, the result of adding 3 1/9, 2 5/6, and 21/4 is 107/18 or 5 17/18 as a mixed number.