Fraction Math Tutorials - Babar

FRACTIONS CHEAT SHEET A Fraction represents a part of a whole The top number is called the 'NUMERATOR', The bottom number is called the 'DENOMINATOR', IMPROPER FRACTION An improper fraction is one where the numerator is larger than (or equal to) the denominator PROPER FRACTION A proper fraction is one where the numerator is less than the denominator, and the fraction is less than 1 SIMPLIFYING FRACTIONS To simplify a fraction, find a number that can divide both the numerator and the denominator. Divide both of them by this number. Repeat this process until you can't divide them anymore. MIXED NUMBER A mixed number is made up of a whole number and a proper fraction Improper fractions are easier to use in calculations than mixed numbers CONVERTING MIXED NUMBERS TO IMPROPER FRACTIONS Step 1: Carry the denominator Step 2: Multiply the whole number with the denominator of fraction (1 x 4), then add the numerator (+3) CONVERTING IMPROPER FRACTIONS TO MIXED NUMBERS Step 1: What do you get when you divide the numerator by the denominator? Write it down as the whole number. Step 2: Write the remainder as the top number of the fraction Step 3: Carry the denominator of fraction FRACTIONS CHEAT SHEET ADDING FRACTIONS WITH THE SAME DENOMINATORS Step 1: Carry the denominator across Step 2: Add the numerators together Step 3: Simplify the fraction if possible 4/5 cannot be simplified any further ADDING FRACTIONS WITH DIFFERENT DENOMINATORS Step 1: Multiply the denominators so both fractions share the same denominator. Step 2: Multiply the diagonals (starting top left -> bottom right, to ensure the fractions hold the same value as before. Step 3: Add the numerators together Step 4: Simplify the fraction if possible Improper fractions can be simplified further by SUBTRACTING FRACTIONS WITH THE SAME DEMONIMATORS Step 1: Carry the denominator across Step 2: Subtract the numerators Step 3: Simplify the fraction if possible 2/8 can be simplified further by dividing by 2. The result is 1/4 FRACTIONS CHEAT SHEET SUBTRACTING FRACTIONS WITH DIFFERENT DENOMINATORS Step 1: Multiply the denominators so both fractions share the same denominator. Step 2: Multiply the diagonals (starting top left -> bottom right, to ensure the fractions hold the same value as before. Step 3: Subtract the numerators Step 4: Simplify the fraction if possible (in this case 5/14 is already in it's simplest form as there are no numbers that both 5 and 14 are divisible by). SUB TRACTING MIXE D FRACTIONS Step 1: Convert to improper fractions Step 2: Multiply the denominators so both fractions share the same denominator. Step 3: Multiply the diagonals (starting top left -> bottom right, to ensure the fractions hold the same value as before. Step 4: Subtract the numerators Step 5: Simplify the fraction if possible(Improper fractions are better displayed as mixed numbers) FRACTIONS CHEAT SHEET MU LTIPLYING FRACTIONS Step 1: Multiply both numerators with eachother Step 2: Multiply both denominators with eachother Step 2: Simplify the fraction 1/4 cannot be simplified any further Another way of looking at this question is: How much is one half of one half. One Half of One Half One Half MULTIPLYING WHOLE NUMBERS WITH FRACTIONS Step 1: Convert whole number to an improper fraction Step 2: Multiply both numerators with eachother Step 3: Multiply both denominators with eachother Step 4: Simplify the fraction if possible 6 can be divided by 2 3 times so the simplified answer is 3 MULTIPLYING MIXED NUMBERS WITH MIXED NUMBERS Step 1: Convert mixed numbers to improper fractions Step 2: Multiply numerators Step 3: Multiply denominators Step 4: Simplify the fraction if possible 63 can be simplified into a mixed number. 63 can by divided by 8, 7 times with a remainder of 7: FRACTIONS CHEAT SHEET DIVIDING FRACTIONS Step 1: Step 2: Multiply the top left numerator with bottom right denominator to find the new numerator. Multiply the bottom left denominator with the top right numerator to find The new denominator. Step 3: Simplify the fraction if possible (An improper fraction is better displayed as a mixed fraction!). DIVIDING MIXED FRACTIONS Step 1: Convert mixed numbers to improper fractions. Step 2: Multiply the top left numerator with bottom right denominator to find the new numerator. Step 3: Multiply the bottom left denominator with the top right numerator to find the new denominator. Step 4: Simplify the fraction if possible