INPUT ARTICLE: Article: Romanian has a total of 7 vowels. Of these, the letters a, e, o, and u will likely give you the least trouble, so those vowel sounds are a good place to start. Pay attention to the position of your lips and tongue – this will help you pronounce unique Romanian vowel sounds.   A sounds like the a in the English word "father." As you make this sound, keep your lips open and unrounded, with your tongue lying in the bottom of your mouth.  E sounds like the e in the English word "bed." Your lips are slightly open, less open than when you made the a sound, with your tongue up slightly and stretched towards the front of your mouth.  O sounds like the aw in the English word "yawn." Your lips should be rounded when you make this sound, the same as they would be if you were making the o sound in English.  U sounds like the oo in the English word "boot." Your lips should be rounded, the same as they would be when making this sound in English. The i in Romanian may be more difficult for you to pronounce, as it has a unique sound that doesn't exist in English. The Romanian alphabet also has 2 more vowels: ă and î or â (which both make the same sound).  The letter i makes an ee sound, similar to the ee in the English word "free."  Ă, also called a schwa or an A-breve, makes an uh sound, similar to the a in the English word "about."  Â and Î, also known as A-circumflex and I-circumflex, are pronounced exactly the same way. Typically, î is used at the beginning of a word, while â is used in the middle. There is no equivalent sound in the English language, but it sounds similar to the u sound in the French word "rue." Most Romanian consonants sound the same in Romanian as they do in English or in other Romance languages. There are also 2 consonants that are unique to Romanian: ţ and ş.  The ş makes an sh sound, similar to the sh in the English word "she." The ţ makes a ts sound, similar to the ts in the English word "cats," or the zz in the Italian word "pizza." The letter g usually sounds like the g in the English word "goat." If it is in front of an e, however, it sounds like the g in the English word "general." The letter j always makes a zh sound, similar to the s in the English word "pleasure." The letters k, q, w, and y are foreign letters, so they are pronounced the way the foreign or imported word would be pronounced in its original language. The letter h is silent if it falls between the letters c or g and e or i, as in the combinations che, chi, ghe, and ghi. There are some combinations of letters in Romanian that make a different sound when they appear together than the individual letters that make up the group. These sounds aren't particularly tricky – you just have to remember that those letters combine to produce a different sound.   Ce and ci are pronounced with a ch sound, similar to the ch in the English words "check" or "chin."  Ge and gi are pronounced similarly to the ge in the English word "gem," or the gi in the English word "gin."  Che and chi are pronounced with a k sound, similar to the k in the English word "kit."  Ghe and ghi are pronounced similarly to the g in the English words "guest" or "give."

SUMMARY: Start with Romanian vowels. Practice unique Romanian vowel sounds. Move on to Romanian consonants. Memorize groups of letters that make a unique sound together.


INPUT ARTICLE: Article: If a mixed number is a b/c then the equation used to convert it to an improper fraction is (ac+b)/c. In this equation:  A is the whole number. B is the numerator (the top portion of the fraction). C is the denominator (the bottom portion of the fraction). BEDMAS or PEDMAS dictates that you must first address the numbers in parentheses. Since multiplication and division come first, you will first multiply ac. You will then add b, since that figure is also within parentheses. Finally, you will divide by c, or use c as the new denominator. P/BEDMAS stands for parentheses/brackets, exponents, multiply or divide, and add or subtract. Take the mixed number 1 ⅔  for example: a = 1, b = 2, and c = 3. Multiply ac, which in this example is 3 x 1 = 3. You now know the product of ac = 3, so now it's time to add b = 2: 3 + 2 = 5. This sum, 5, is the new numerator of your improper fraction. Remember that the denominator (c = 3) remains the same from the original fraction, and the new numerator is 5. The improper fraction converted from the original mixed number, therefore, is 5/3. To be certain, you can always double check your math by running the numbers again, or verifying the answer using an online calculator. The simplest form is the smallest and easiest way to represent a fraction. To reduce a fraction to its simplest form, determine if the numerator and denominator have common factors. If they do, select the highest one and divide the numerator and denominator by that number.  For instance, in the fraction 9/42, the greatest common factor is 3. Divide both the numerator and denominator by the greatest common factor to get the fraction's simplest form: 9 ÷ 3 / 42 ÷ 3 = 3/14

SUMMARY:
Learn the basic equation. Remember the order of operations. Multiply the whole number and the denominator. Add the numerator to the product. Rewrite the improper fraction with the new numerator. Check your work. Reduce the fraction to its simplest form if necessary.