哪个分数恰好位于 2/3 和 3/4 之间？
在早期，人们有不同的心态来比较事物。他们不能像今天这样数数，因为他们不知道数字系统。他们过去常常用符号来表示事物。在后来的时代，他们用小数字来计数。它们可能被用来数手指上的东西，这导致了以 10 为基数的数字系统，因为它们可以在手指上数到 10。阿拉伯人传播了表示数字的方法，用了数百年的时间来表示数字系统。目前有不同类型的数字系统。
- 自然数
- 整数
- 整数
- 有理数
- 无理数
- 实数
- 复数
什么是两个分数的一半？
Fraction that lies exactly halfway between 2/3 and 3/4 will not be smaller than 2/3 and not greater than 3/4. Halfway is nothing but the mean of two fractions. The mean of numbers is that number that exactly lies at an equal distance from the lowest and highest number on the number line.
求两个分数的一半的公式
让我们概括一个公式，用于计算两个分数的一半。
第 1 步：假设有两个分数“a/b”和“c/d”。这里'a'和'b'不能等于0。
第 2 步：通过将这两个分数转换为分数来相加。 （像分数是分母相同的分数）
第 3 步：为了将两个分数转换为相似分数，将第二个分数的分母乘以第一个分数的分子和分母，并将第一个分数的分母乘以第二个分数的分子和分母。
First Fraction: (a×d)/(b×d)
Second Fraction: (c×b)/(d×b)
Since the denominator of these two fraction is same so we will call it like fraction.
第 4 步：将这两个分数相加。
= (ad/bd) + (cb/bd)
=(ad + cb)/(bd)
第 5 步：现在将这两个分数的总和除以 2。
Halfway of two fractions = (ad+cb)/(2bd)
哪个分数恰好位于 2/3 和 3/4 之间？
解决方案：
By comparing the fractions 2/3 and 3/4 with a/b and c/d respectively.
we got, a = 2, b = 3, c = 3 and d = 4
Put these values in the formula,
Halfway of two fractions = (ad + cb)/(2bd)
= (2 × 4 + 3 × 3)/(2 × 3 × 4)
= (8 + 9)/24
= 17/24
The fraction lies exactly between 2/3 and 3/4 is 17/24.
类似问题
问题 1：求分数 6/7 和 8/9 的平均值。
解决方案：
On comparing the fraction 6/7 and 8/9 with a/b and c/d respectively,
a = 6, b = 7, c = 8 and d = 9
Put these values in the formula,
Mean or halfway of two fraction = (ad + cb)/(2bd)
Mean = (6 × 9 + 7 × 8)/(2 × 7 × 9)
Mean = (54 + 56)/126
Mean = 110/126
Mean = 55/63
The mean of 6/7 and 8/9 is 55/63.
问题 2：找出一个介于 5/6 和 8/9 之间的分数。
解决方案：
By using the formula of halfway of two fractions we can find out at least one fraction which will always lie in between 5/6 and 8/9.
On comparing 5/6 and 8/9 with a/b and c/d respectively.
a = 5, b = 6, c = 8 and d = 9
Halfway of two fraction = (ad + cb)/(2bd)
= (5 × 9 + 6 × 8)/(2 × 6 × 9)
= (45 + 48)/108
= 93/108
= 31/36
So, 31/36 will always lie in between 5/6 and 8/9.