2.5a: add and subtract fractions with common denominators consider the following problem, 2/5 + 1/5. if i filled in 2/5 of the first pie and 1/5 of the second pie and then i added them together or put them all in the same pie plate,
How To Add Fractions In Lowest Terms, i would have 3/5 which i would write as 3 parts of a whole that has 5 parts. so to add fractions that have the same denominator, we are going to add the numerators and keep the denominators.
the same is true for subtraction except that you subtract the numerators and keep the denominators instead of adding. when adding fractions or subtracting fractions, you must always check to reduce at the end of the problem. you might want to note here that this is different than when multiplying with fractions. when multiplying with fractions,
we will reduce at the beginning but when adding or subtracting fractions, we will reduce at the end of the problem. let us look at example 1. example 1 is 4/7 - 2/7, we subtract the numerators 4 - 2 is 2 and then we keep the denominators which would make it 2/7. there is nothing to reduce,
so that is our final answer. let us look at example 2. example 2 is 7/10 + 5/10. remember we add the numerators 7 + 5 is 12 and then we keep the denominators the same or 10 and 10 is 10. now in this problem we must reduce. we know that both the numerator and the denominator can divide by 2, which will give us 6/5.
this is our final reduced answer. remember when adding or subtracting fractions, you must always add or subtract the numerators but you do not change the denominators. you keep the denominators the same.
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