Question

Change each mixed number into an equal improper fraction a. 1 7/16, b. 11 5/9, c. 30 5/9, d. 10 10/13, e. 24 3/5, f. 129 1/2

Answer 1

Answer:

a)

$\dfrac{23}{16}$

b)

$\dfrac{104}{9}$

c)

$\dfrac{275}{9}$

d)

$\dfrac{140}{13}$

e)

$\dfrac{103}{5}$

f)

$\dfrac{259}{2}$

Step-by-step explanation:

" A fraction in which the numerator is greater than the denominator "

We have to change each of the mixed fraction into improper fraction:

We know that the mixed fraction is converted into fraction as:

$a\frac{b}{c}=\dfrac{a\times c+b}{c}$

a)

$1\frac{7}{16}$ could be written as:

$=\dfrac{1\times 16+7}{16}\\\\=\dfrac{16+7}{16}\\\\=\dfrac{23}{16}$

b)

$11\frac{5}{9}$

$=\dfrac{11\times 9+5}{9}\\\\=\dfrac{99+5}{9}\\\\=\dfrac{104}{9}$

c)

$30\frac{5}{9}$

$\dfrac{30\times 9+5}{9}\\\\=\dfrac{270+5}{9}\\\\=\dfrac{275}{9}$

d)

$10\frac{10}{13}$

$\dfrac{10\times 13+10}{13}\\\\=\dfrac{130+10}{13}\\\\=\dfrac{140}{13}$

e)

$24\frac{3}{5}\\\\=\dfrac{24\times 5+3}{5}\\\\=\dfrac{100+3}{5}\\\\\dfrac{103}{5}$

f)

$129\frac{1}{2}\\\\\\=\dfrac{19\times 2+1}{2}\\\\=\dfrac{258+1}{2}\\\\=\dfrac{259}{2}$

Answer 2

Answer:

We need to convert the following fractions into improper fraction.

a. $1 \frac{7}{16}$, b. $11 \frac{5}{9}$, c. $30 \frac{5}{9}$

d. $10 \frac{10}{13}$, e. $24 \frac{3}{5}$, and f. $129 \frac{1}{2}$

We know that an improper fraction is a fraction in which the numerator is greater than the denominator.

Now, to convert a mixed fraction, say $a\frac{b}{c}$ into improper fraction as, $a\frac{b}{c}=\frac{a\times c+b}{b}$

Now, let us consider each part one by one.

a. $1 \frac{7}{16}$

$1\frac{7}{16}=\frac{16\times1+7}{16} =\frac{23}{16}$

b. $11 \frac{5}{9}$

$11\frac{5}{9}=\frac{11\times9+5}{9} =\frac{104}{9}$

c. $30 \frac{5}{9}$

$30\frac{5}{9}=\frac{30\times9+5}{9} =\frac{275}{9}$

d. $10 \frac{10}{13}$

$10\frac{10}{13}=\frac{10\times13+10}{13} =\frac{140}{13}$

e. $24 \frac{3}{5}$

$24\frac{3}{5}=\frac{24\times5+3}{5} =\frac{123}{5}$

f. $129 \frac{1}{2}$

$129\frac{1}{2}=\frac{129\times2+1}{2} =\frac{259}{2}$