Pick out the greatest fraction $8\dfrac{1}{4},2\dfrac{9}{{13}},4\dfrac{1}{2},1\dfrac{3}{6}.$
Answer
362.7k+ views
Hint: The value of mixed fraction $$a\dfrac{b}{c} = \dfrac{{(a \times c) + b}}{c}$$
Complete step-by-step answer:
The given mixed fractions are $8\dfrac{1}{4},2\dfrac{9}{{13}},4\dfrac{1}{2},1\dfrac{3}{6}.$
Converting these mixed fraction into fractions
$8\dfrac{1}{4} = \dfrac{{\left( {8 \times 4} \right) + 1}}{4} = \dfrac{{33}}{4}$
$2\dfrac{9}{{13}} = \dfrac{{\left( {13 \times 2} \right) + 9}}{{13}} = \dfrac{{35}}{{13}}$
$4\dfrac{1}{2} = \dfrac{{\left( {2 \times 4} \right) + 1}}{2} = \dfrac{9}{2}$
$$1\dfrac{3}{6} = \dfrac{{\left( {6 \times 1} \right) + 3}}{6} = \dfrac{9}{6} = \dfrac{3}{2}$$
The values of these fractions are
$$\dfrac{{33}}{4} = 8.25,\;\dfrac{{35}}{{13}} \approx 2.69,\;\dfrac{9}{2} = 4.5,\;\dfrac{3}{2} = 1.5$$
If we compare the values, we get $$\dfrac{3}{2} < \dfrac{{35}}{{13}} < \dfrac{9}{2} < \dfrac{{33}}{4}$$
$$ \Rightarrow \dfrac{{33}}{4}$$ is the greatest of the four fractions.
Corresponding mixed fraction for $$\dfrac{{33}}{4} = 8\dfrac{1}{4}.$$
$$\therefore $$ The greatest fraction of the four fractions is $8\dfrac{1}{4}.$
Note: We have to find the greatest mixed fraction of the given mixed fractions. We need to know the values of these mixed fractions to find the greatest fraction. So we converted mixed fractions to rational numbers to find their values easily.
Complete step-by-step answer:
The given mixed fractions are $8\dfrac{1}{4},2\dfrac{9}{{13}},4\dfrac{1}{2},1\dfrac{3}{6}.$
Converting these mixed fraction into fractions
$8\dfrac{1}{4} = \dfrac{{\left( {8 \times 4} \right) + 1}}{4} = \dfrac{{33}}{4}$
$2\dfrac{9}{{13}} = \dfrac{{\left( {13 \times 2} \right) + 9}}{{13}} = \dfrac{{35}}{{13}}$
$4\dfrac{1}{2} = \dfrac{{\left( {2 \times 4} \right) + 1}}{2} = \dfrac{9}{2}$
$$1\dfrac{3}{6} = \dfrac{{\left( {6 \times 1} \right) + 3}}{6} = \dfrac{9}{6} = \dfrac{3}{2}$$
The values of these fractions are
$$\dfrac{{33}}{4} = 8.25,\;\dfrac{{35}}{{13}} \approx 2.69,\;\dfrac{9}{2} = 4.5,\;\dfrac{3}{2} = 1.5$$
If we compare the values, we get $$\dfrac{3}{2} < \dfrac{{35}}{{13}} < \dfrac{9}{2} < \dfrac{{33}}{4}$$
$$ \Rightarrow \dfrac{{33}}{4}$$ is the greatest of the four fractions.
Corresponding mixed fraction for $$\dfrac{{33}}{4} = 8\dfrac{1}{4}.$$
$$\therefore $$ The greatest fraction of the four fractions is $8\dfrac{1}{4}.$
Note: We have to find the greatest mixed fraction of the given mixed fractions. We need to know the values of these mixed fractions to find the greatest fraction. So we converted mixed fractions to rational numbers to find their values easily.
Last updated date: 27th Sep 2023
•
Total views: 362.7k
•
Views today: 11.62k
Recently Updated Pages
What do you mean by public facilities

Difference between hardware and software

Disadvantages of Advertising

10 Advantages and Disadvantages of Plastic

What do you mean by Endemic Species

What is the Botanical Name of Dog , Cat , Turmeric , Mushroom , Palm

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How many crores make 10 million class 7 maths CBSE

Difference between physical and chemical change class 11 chemistry CBSE

Number of Prime between 1 to 100 is class 6 maths CBSE

10 examples of law on inertia in our daily life

When was Bhagat Singh born A 25 September 1905 B 28 class 11 social science CBSE
