\(\displaystyle 5-1\frac{1}{4}\), the result is smaller than operation\(\displaystyle 5-1\)
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
\(\large {\boxed {\bold {\frac {a} {b}}}\)
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 \(\displaystyle 5-1\frac{1}{4}\) 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:
\(\displaystyle 5-1\:and\:5-1\frac{1}{4}\)
if we look at the first number, it has the same value of 5, while the second number of the two substraction operations is \(\displaystyle 1\:and\:1\frac{1}{4}\)
Number \(\displaystyle 1\frac{1}{4}\) is one form of mixed fraction, which if we change it into improper fraction becomes:
\(\displaystyle 1\frac{1}{4}=\frac{5}{4}\)
while the number 1 if we change into fractions (with denominators = 4) becomes \(\displaystyle \frac{4}{4}\)
So the number \(\displaystyle \frac{5}{4}\) is greater than \(\displaystyle \frac{4}{4}\)
The conclusion in a substraction operation:
\(\displaystyle 5-1\frac{1}{4}\), the result is smaller than operation\(\displaystyle 5-1\)
or we prove it by the results of operations \(\displaystyle 5-1\frac{1}{4}\)
In Subtracting Mixed Fractions, we change all the values to fractions
because denominators are 4, then the fraction we made has denominators 4
\(\displaystyle 5=\frac{20}{4}\)
\(\displaystyle 1\frac{1}{4}=\frac{5}{4}\)
\(\displaystyle \frac{20}{4}-\frac{5}{4}=\frac{15}{4}\)
convert back to Mixed Fractions
\(\displaystyle=\frac{15}{4}=3\frac{3}{4}\)
\(\displaystyle 3\frac{3}{4}<4\)
Proved that Matt's statement was wrong
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Keywords: fraction, mixed fraction, substraction
