Question

Matt says that 5 - 1 1/4 will be more than 4, since 5 - 1 is 4. Prove Matt is wrong.

Answer 1

$\displaystyle 5-1\frac{1}{4}$, 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

$\displaystyle=\frac{15}{4}=3\frac{3}{4}$

$\displaystyle 3\frac{3}{4}$

Proved that Matt's statement was wrong

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Keywords: fraction, mixed fraction, substraction

Answer 2

Matt will be wrong because he forgot about the fraction 5-1 1/4 is 3 3/4


hope this helped