Converting Decimals and Fractions

Here is a summary of the text in detailed bullet points:

• To convert a decimal number to a fraction, write the number over 1, then multiply the top and bottom by a power of 10 to eliminate the decimal.

• For example, 0.4 can be converted to a fraction by writing it as 0.4/1, then multiplying the top and bottom by 10 to get 4/10, which simplifies to 2/5.

• When converting a decimal to a fraction, always multiply the top and bottom by the same number to maintain the value of the fraction.

• To simplify a fraction, divide both the numerator and denominator by their greatest common divisor.

• For example, 8/10 can be simplified to 4/5 by dividing both numbers by 2.

• When converting an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number part, then write the remainder as a fraction.

• For example, 47/5 can be converted to a mixed number by dividing 47 by 5 to get 9 with a remainder of 2, which can be written as 9 2/5.

• To convert a mixed number to an improper fraction, multiply the whole number part by the denominator, then add the numerator.

• For example, 3 2/5 can be converted to an improper fraction by multiplying 3 by 5 to get 15, then adding 2 to get 17/5.

• When converting a repeating decimal to a fraction, subtract the original number from the repeating part to eliminate the repeating pattern.

• For example, 0.83 repeating can be converted to a fraction by subtracting 0.83 from 0.83 - 0.33 = 0.5, then converting the remaining 0.5 to a fraction.

• To add fractions with different denominators, find the least common multiple of the denominators and convert each fraction to have that denominator.

• For example, to add 1/2 and 1/3, find the least common multiple of 2 and 3, which is 6, then convert each fraction to have a denominator of 6: 1/2 = 3/6, 1/3 = 2/6, and add them to get 5/6.