To showroom two fractions they must be over a common denominator, which for this problem is #10#.
Bạn đang xem: Solve x
To put each fraction over a common denominator we must multiply each fraction by the appropriate form of #1#:
#2/5 + một nửa => (2/2 xx 2/5) + (5/5 xx 1/2) => 4/10 + 5/10#
We can now địa chỉ cửa hàng the numerators of the two fractions over the common denominator:
#4/10 + 5/10 => (4 + 5)/10 => 9/10#
You need a "common denominator": the number at the bottom of each fraction must be the same. Khổng lồ get that, we can multiply a fraction by #x/x#, where #x# is any number, since #x/x=1#.
Since our denominators are 2 & 5, we need a common denominator that both of those will divide into equally. I"m going to choose 10. It"s true that đôi mươi or 100 or 1 000 000 would also work, but we usually try to lớn use the "least common denominator" or "lowest common denominator" (both are abbreviated as LCD).
To get #2/5# khổng lồ have 10 as the denominator, I will multiply it by #2/2#, & get #4/10#. (we"ve really just multiplied it by 1, since #2/2 = 1#)
To get #1/2# khổng lồ have 10 as the denominator, I will multiply it by #5/5#, and get #5/10#.
Now we can địa chỉ cửa hàng the two fractions: #4/10 + 5/10 = 9/10#.
We can"t simplify that any further, so #9/10# is our answer.
Answer liên kết
vanessa
Jun 11, 2017
Start by finding the least common multiple of 5 and 2, the denominators. Their lcm is 10. Now we have khổng lồ make the denominators both 10.
#2/5*2/2#
Since 2/2 is one, you aren"t really changing the fraction. Either way, we end up with
#4/10# as our first fraction. Now for the second one, we make its denominator 10 as well, by multiplying by 5/5. Since 5/5=1, the fraction isn"t changing.
#1/2*5/5#
The final fraction is 5/10. Now that the denominators are the same, simply địa chỉ the numerators và simplify the fraction.
Xem thêm: Soạn Bài Thầy Thuốc Giỏi Cốt Nhất Ở Tấm Lòng (Chi Tiết), Please Wait
#(5+4)/10# => #9/10#
However, the greatest common multiple of 9 and 10 is 1, so the fraction can"t be simplified and #9/10# is the final answer.
Answer liên kết
Related questions
See all questions in Addition of Rational Numbers
Impact of this question
48814 views around the world
You can reuse this answer Creative Commons License