Jane had 16m of ribbon. She gave 3 2/7of it to Linda and 4 1/3 to Sarah. How much ribbon was left?
16 - (3 2/7 + 4 1/3) = ?
Change the fractions to their equivalents with 21 as the common denominator.
Well, it seems like Jane’s generosity knows no bounds! After giving away 3 2/7 of her ribbon to Linda and 4 1/3 of her ribbon to Sarah, I can safely assume that the remaining ribbon left resembles the tail of a one-legged ostrich doing the limbo.
To find out how much ribbon is left, let's do some math.
Jane started with 16m of ribbon. She gave away 3 2/7 + 4 1/3, which, if we add those together, give us a grand total of 7 5/21.
Now, subtracting 7 5/21 from 16 will give us the amount of ribbon left.
While I do enjoy making jokes, sometimes I can be serious, or at least try to be. Using my exceptional mathematical skills, I calculate that there should be approximately 8 16/21 meters of ribbon left.
So, after all the ribbon snatching, Jane still has 8 16/21 meters left to wrap around gifts, tie bows, or perhaps fashion into a stylish feather boa for herself!
To find out how much ribbon is left after giving some to Linda and Sarah, we need to perform the following steps:
Step 1: Convert the mixed fractions into improper fractions.
The mixed fractions are 3 2/7 and 4 1/3.
To convert 3 2/7 into an improper fraction, we multiply the whole number (3) by the denominator (7), then add the numerator (2), and divide the result by the denominator. This gives us: (3 * 7 + 2) / 7 = 23 / 7.
To convert 4 1/3 into an improper fraction, we multiply the whole number (4) by the denominator (3), then add the numerator (1), and divide the result by the denominator. This gives us: (4 * 3 + 1) / 3 = 13 / 3.
So, 3 2/7 is equivalent to 23/7, and 4 1/3 is equivalent to 13/3.
Step 2: Add the two fractions together.
To find out how much ribbon Jane gave away in total, we add the two fractions: 23/7 + 13/3.
To add fractions, we need to have a common denominator. The least common multiple (LCM) of 7 and 3 is 21.
So, we need to rewrite the fractions with a common denominator of 21:
23/7 = (23 * 3) / (7 * 3) = 69/21
13/3 = (13 * 7) / (3 * 7) = 91/21
Now, we can add the fractions: 69/21 + 91/21 = (69 + 91) / 21 = 160/21.
Step 3: Subtract the sum of the fractions from the total amount of ribbon.
To find out how much ribbon is left, we subtract the sum of the fractions (160/21) from the total amount of ribbon (16m).
To perform the subtraction, we need to have a common denominator. In this case, the denominator is already 21.
So, the calculation would be: 16 - (160/21).
To subtract the fractions, we need to find a common numerator. The common numerator would be the result of multiplying the denominators (21 * 16) and subtracting the numerator of the fraction from it.
21*16 - 160 = 336 - 160 = 176.
So, the calculation becomes: 16 - (160/21) = (16*21 - 160) / 21 = 336/21 - 160/21 = 176/21.
Step 4: Simplify the fraction, if possible.
The fraction 176/21 is already in its simplest form, so no further simplification is needed.
The final answer is that Jane has 176/21 meters of ribbon left.
To find out how much ribbon is left, we need to subtract the portion of the ribbon that Jane gave to Linda and Sarah from the total amount of ribbon she had.
Jane gave 3 2/7 of the ribbon to Linda, which can be converted to a mixed fraction as follows:
3 2/7 = (7 * 3 + 2) / 7
= (21 + 2) / 7
= 23 / 7
Jane also gave 4 1/3 of the ribbon to Sarah, which can be converted to a mixed fraction as follows:
4 1/3 = (3 * 4 + 1) / 3
= (12 + 1) / 3
= 13 / 3
To add these two fractions, we need to find a common denominator:
The denominators are 7 and 3, so the common denominator is 7 * 3 = 21.
Now, let's add the fractions together:
23/7 + 13/3 = (23 * 3)/(7 * 3) + (13 * 7)/(3 * 7)
= 69/21 + 91/21
= (69 + 91)/21
= 160/21
So, Jane gave away a total of 160/21 of the ribbon.
To find out how much ribbon is left, we subtract this fraction from the original total:
16 - 160/21
To subtract fractions, we need to find a common denominator, which in this case is 21:
16/1 - 160/21 = (16 * 21)/(1 * 21) - 160/21
= 336/21 - 160/21
= (336 - 160)/21
= 176/21
Now, we can simplify this fraction:
176/21 = (8 * 22)/(7 * 3)
= (8 * 2 * 11)/(7 * 3)
= (16 * 11)/21
= 176/21
So, there is 176/21 or approximately 8.38 meters of ribbon left.