[tex]\displaystyle 5-1\frac{1}{4}[/tex], the result is smaller than operation[tex]\displaystyle 5-1[/tex]
Further explanation
Fraction numbers are known as numerators and denominators
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex] \large {\boxed {\bold {\frac {a} {b}}} [/tex]
a = numerator
b = denominator
There are 3 forms of fraction
1. proper fraction
2. improper fraction
3. mixed fraction
Mixed fractions consist of whole numbers and proper fractions
Matt says that [tex]\displaystyle 5-1\frac{1}{4}[/tex] will be more than 4, since 5 - 1 is 4.
We can prove Matt's says if we calculate the results of the subtraction operations from the two operations:
[tex]\displaystyle 5-1\:and\:5-1\frac{1}{4}[/tex]
if we look at the first number, it has the same value of 5, while the second number of the two substraction operations is [tex]\displaystyle 1\:and\:1\frac{1}{4}[/tex]
Number [tex]\displaystyle 1\frac{1}{4}[/tex] is one form of mixed fraction, which if we change it into improper fraction becomes:
[tex]\displaystyle 1\frac{1}{4}=\frac{5}{4}[/tex]
while the number 1 if we change into fractions (with denominators = 4) becomes [tex]\displaystyle \frac{4}{4}[/tex]
So the number [tex]\displaystyle \frac{5}{4}[/tex] is greater than [tex]\displaystyle \frac{4}{4}[/tex]
The conclusion in a substraction operation:
[tex]\displaystyle 5-1\frac{1}{4}[/tex], the result is smaller than operation[tex]\displaystyle 5-1[/tex]
or we prove it by the results of operations [tex]\displaystyle 5-1\frac{1}{4}[/tex]
In Subtracting Mixed Fractions, we change all the values to fractions
because denominators are 4, then the fraction we made has denominators 4
[tex]\displaystyle 5=\frac{20}{4}[/tex]
[tex]\displaystyle 1\frac{1}{4}=\frac{5}{4}[/tex]
[tex]\displaystyle \frac{20}{4}-\frac{5}{4}=\frac{15}{4}[/tex]
convert back to Mixed Fractions
[tex]\displaystyle=\frac{15}{4}=3\frac{3}{4}[/tex]
[tex]\displaystyle 3\frac{3}{4}<4[/tex]
Proved that Matt's statement was wrong
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Keywords: fraction, mixed fraction, substraction
