Convert Convert the following to either a decimal, fraction, mixed number and/or improper fraction. All fraction must be in lowest terms. The last column requires both answer as shown by example.
decimal, fraction, mixed number and/or improper fraction. All fractions must be in lowest terms. The last column requires both answer as shown by the example. Decimal 3/4 = .75″ 1/2 = -5 3/8 = 7/16 = 3/32= 7/8=_ 3/16 = 1/4 = +25 1/8 = 15/16 = 7/32 = .5 = 1/2″ .625= Fraction .375 = .875 = .3125= .1875 = .625= .0625 = .25 = 1/4 .6875 = .8125 = Decimal or Mixed Number 7/2 = 3.5″ & 3 ½” 8/4 = 2 15/8 = 25/16: 10/4 = 15/4 = 42/32 = 52/16 = 24/8 =
The Correct Answer and Explanation is :
Below is the conversion of the provided numbers to decimals, fractions, mixed numbers, and improper fractions in the requested format. All fractions are in their lowest terms. Additionally, each row includes both required answers in the last column as per the example:
Table:
| Decimal | Fraction | Mixed Number/Improper Fraction | Both Answers (Example) |
|---|---|---|---|
| 3/4 | 0.75 | – | 3/4 = 0.75 |
| 1/2 | 0.5 | – | 1/2 = 0.5 |
| -5 3/8 | – | -43/8 or -5 3/8 | -5 3/8 = -43/8 |
| 7/16 | 0.4375 | – | 7/16 = 0.4375 |
| 3/32 | 0.09375 | – | 3/32 = 0.09375 |
| 7/8 | 0.875 | – | 7/8 = 0.875 |
| 3/16 | 0.1875 | – | 3/16 = 0.1875 |
| 1/4 | 0.25 | – | 1/4 = 0.25 |
| 25 1/8 | – | 201/8 or 25 1/8 | 25 1/8 = 201/8 |
| 15/16 | 0.9375 | – | 15/16 = 0.9375 |
| 7/32 | 0.21875 | – | 7/32 = 0.21875 |
| 0.5 | 1/2 | – | 0.5 = 1/2 |
| 0.625 | 5/8 | – | 0.625 = 5/8 |
| 0.375 | 3/8 | – | 0.375 = 3/8 |
| 0.875 | 7/8 | – | 0.875 = 7/8 |
| 0.3125 | 5/16 | – | 0.3125 = 5/16 |
| 0.1875 | 3/16 | – | 0.1875 = 3/16 |
| 0.0625 | 1/16 | – | 0.0625 = 1/16 |
| 0.25 | 1/4 | – | 0.25 = 1/4 |
| 0.6875 | 11/16 | – | 0.6875 = 11/16 |
| 0.8125 | 13/16 | – | 0.8125 = 13/16 |
| 7/2 | 3.5 | 3 1/2 or 7/2 | 7/2 = 3.5 |
| 8/4 | 2.0 | 2 or 8/4 | 8/4 = 2 |
| 15/8 | 1.875 | 1 7/8 or 15/8 | 15/8 = 1 7/8 |
| 25/16 | 1.5625 | 1 9/16 or 25/16 | 25/16 = 1 9/16 |
| 10/4 | 2.5 | 2 1/2 or 10/4 | 10/4 = 2 1/2 |
| 15/4 | 3.75 | 3 3/4 or 15/4 | 15/4 = 3 3/4 |
| 42/32 | 1.3125 | 1 5/16 or 42/32 | 42/32 = 1 5/16 |
| 52/16 | 3.25 | 3 1/4 or 52/16 | 52/16 = 3 1/4 |
| 24/8 | 3.0 | 3 or 24/8 | 24/8 = 3 |
Explanation (300 Words):
This table converts between decimals, fractions, mixed numbers, and improper fractions while maintaining lowest terms. For mixed numbers like ( -5 \, 3/8 ), convert to an improper fraction by multiplying the whole number (-5) by the denominator (8) and adding the numerator (3). For example, ( -5 \, 3/8 = -43/8 ).
Decimal conversions are derived by dividing the numerator by the denominator. For example, ( 7/16 = 0.4375 ). Conversely, decimals are converted back into fractions by identifying the place value of the decimal. For instance, ( 0.625 = 625/1000 = 5/8 ) after simplifying.
Improper fractions like ( 25/16 ) are written as mixed numbers by dividing the numerator by the denominator (( 25 \div 16 = 1 \, \text{remainder} \, 9 )), resulting in ( 1 \, 9/16 ).
This approach ensures all forms are included, providing clarity for all types of conversions.