how do you add and subtract and multiply and divide fractions?
I searched Google under the key words "fractions add subtract multiply divide" to get these possible sources:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut3_fractions.htm
http://www.gomath.com/exercises/algebra.php
http://www.math.com/school/subject1/lessons/S1U4L3DP.html
http://cstl.syr.edu/FIPSE/fracunit/opfrac/opfrac.htm
http://math.about.com/od/fractions/Fraction_Help_and_Tutorials.htm
I hope this helps. Thanks for asking.
OK FIRST TELL ME WUT U THINK!
like this 1/2 cup of sugar +1/2 other cups of sugar=1 cup of sugar. right or wroung?
ok fine! from u know who! -EmilyRulz555
Where does the name ARC for inverse trig functions come from?
To add or subtract fractions, you need to have a common denominator. Here's a step-by-step explanation:
1. If the fractions you want to add or subtract have different denominators, you need to find a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.
2. Once you have the common denominator, you can add or subtract the numerators as usual. Keep the common denominator the same.
3. Simplify the resulting fraction if necessary by reducing it to its lowest terms.
For example, to add 1/2 and 1/3:
1. The least common multiple of 2 and 3 is 6. So the common denominator is 6.
2. Convert each fraction to have the common denominator: 1/2 becomes 3/6, and 1/3 becomes 2/6.
3. Now you can add the numerators: 3/6 + 2/6 = 5/6.
4. The fraction 5/6 is already in its simplest form, so no further simplification is needed.
To multiply fractions:
1. Multiply the numerators together to get the new numerator.
2. Multiply the denominators together to get the new denominator.
3. Simplify the resulting fraction, if necessary.
For example, to multiply 2/3 and 4/5:
1. Multiply the numerators: 2 × 4 = 8.
2. Multiply the denominators: 3 × 5 = 15.
3. The fraction 8/15 is already in its simplest form.
To divide fractions:
1. Invert (flip) the second fraction.
2. Multiply the first fraction by the reciprocal of the second fraction.
3. Simplify the resulting fraction, if necessary.
For example, to divide 2/3 by 4/5:
1. Flip the second fraction: 4/5 becomes 5/4.
2. Multiply the first fraction by the reciprocal of the second fraction: 2/3 × 5/4.
3. Multiply the numerators: 2 × 5 = 10.
4. Multiply the denominators: 3 × 4 = 12.
5. The fraction 10/12 can be simplified to 5/6 by dividing both the numerator and the denominator by 2.
Regarding your example of 1/2 cup of sugar + 1/2 other cups of sugar equaling 1 cup of sugar, that is correct. When the denominators are the same, you can simply add or subtract the numerators and keep the same denominator.
As for the source of the name "ARC" for inverse trig functions, it comes from the fact that these functions are related to the lengths of arcs (portions of the circumference) on the unit circle in trigonometry. The inverse trig functions are defined as the angles whose trigonometric values correspond to specific ratios or lengths of triangles. The "ARC" notation is used to indicate the inverse of the standard trigonometric functions, such as arcsin for inverse sine, arccos for inverse cosine, and arctan for inverse tangent.