What do you add to 27 4 to make 7

Asked by admin @ 22/11/2021 in Mathematics viewed by 290 People

Solve the following problems. Reduce your answers to their simplest form. a. 13⁄41 + 27⁄82 b. 3 5⁄24 + 6 7⁄24 + 4 9⁄24 c. 5 2⁄3 + 29⁄69 + 6 21⁄23 d. 3 9⁄10 + 4⁄9 + 7⁄45 + 4 e. 6 – 7⁄15 f. 11 3⁄8 – 7⁄8 g. 7 1⁄6 – 3 4⁄9 h. 5 3⁄8 – 3 2⁄5

Answered by admin @ 22/11/2021

On solving the given expressions and reducing them into their simplest form, the simplest form of the expressions can be written as:

The simplest form of expression (A) is, $A=\dfrac{53}{82}$ .

The simplest form of expression (B) is , $B=\dfrac{57}{6}$ .

The simplest form of expression (C) is, $C=\dfrac{140}{23}$

The simplest form of expression (D) is, $D=\dfrac{729}{162}$ .

The simplest form of expression (E) is, $E=\dfrac{83}{15}$ .

The simplest form of expression (F) is, $F=\dfrac{21}{2}$ .

The simplest form of expression (G) is, $F=\dfrac{67}{18}$ .

The simplest form of expression (H) is, $H=\dfrac{79}{40}$ .

Given information:

The expressions are given to solve and reduce the answer to their simplest form.

(A)The expression is given as,

$A=\dfrac{13}{41} +\dfrac{27}{82}$

Solve the above expression by talking least common factor of denominators.

$A=\dfrac{2\times13+27}{82} \\A=\dfrac{26+27}{82} \\A=\dfrac{53}{82}$

Hence, the simplest form of expression (A) after solving is, $A=\dfrac{53}{82}$ .

(B) The expression is given as,

$B=3\dfrac{5}{24}+6\dfrac{7}{24}$

On solving the above expression by simplifying the fractions,

$B=3\dfrac{5}{24}+6\dfrac{7}{24}\\\\B=\dfrac{77}{24} +\dfrac{151}{24}\\\\B=\dfrac{228}{24} \\\\B=\dfrac{57}{6}$

Hence, simplest form of expression (B) after solving is, $B=\dfrac{57}{6}$ .

(C) The expression is given as,

$C=5\dfrac{2}{3}+\dfrac{29}{69}$

On solving the above expression by simplifying the fractions,

$C=5\dfrac{2}{3}+\dfrac{29}{69}\\\\C=\dfrac{17}{3} +\dfrac{29}{69} \\\\C=\dfrac{(23\times17)+(29)}{69} \\\\C=\dfrac{420}{69}\\\\C=\dfrac{140}{23}$

Hence, the simplest form of expression (C) after solving is, $C=\dfrac{140}{23}$ .

(D)The expression is given as,

$D=3\dfrac{9}{10} +\dfrac{4}{9}+\dfrac{7}{45}$

On solving the above expression by simplifying the fractions,

$D=3\dfrac{9}{10}+\dfrac{4}{9}+\dfrac{7}{45} \\\\D=\dfrac{39}{10} +\dfrac{4}{9} +\dfrac{7}{45}\\\\D=\dfrac{15795+1800+630}{4050} \\\\D=\dfrac{18225}{4050}\\\\D=\dfrac{729}{162}$

Hence, the simplest form of expression (D) after solving is, $D=\dfrac{729}{162}$ .

(E)The expression is given as,

$E=6 -\dfrac{7}{15}$

On solving the above expression by simplifying the fractions,

$E=6-\dfrac{7}{15}\\\\E=\dfrac{90-7}{15} \\\\E=\dfrac{83}{15}$

Hence, the simplest form of expression (E) after solving is, $E=\dfrac{83}{15}$ .

(F)The expression is given as,

$F=11\dfrac{3}{8} -\dfrac{7}{8}$

On solving the above expression by simplifying the fractions,

$F=11\dfrac{3}{8} -\dfrac{7}{8}\\\\F=\dfrac{91-7}{8} \\\\F=\dfrac{84}{8}\\\\F=\dfrac{21}{2}$

Hence, the simplest form of expression (F) after solving is, $F=\dfrac{21}{2}$ .

(G)The expression is given as,

$G=7\dfrac{1}{6} -3\dfrac{4}{9}$

On solving the above expression by simplifying the fractions,

$G=7\dfrac{1}{6} -3\dfrac{4}{9}\\\\G=\dfrac{43}{6} -\dfrac{31}{9} \\\\G=\dfrac{129-62}{18} \\\\G=\dfrac{67}{18}$

Hence, the simplest form of expression (G) after solving is, $F=\dfrac{67}{18}$ .

(H)The expression is given as,

$H=5\dfrac{3}{8} -3\dfrac{2}{5}$

On solving the above expression by simplifying the fractions,

$H=5\dfrac{3}{8} -3\dfrac{2}{5}\\\\H=\dfrac{43}{8}-\dfrac{17}{5} \\\\H=\dfrac{215-136}{40}\\\\H=\dfrac{79}{40}$

Hence, the simplest form of expression (H) after solving is, $H=\dfrac{79}{40}$ .

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What do you add to 27 4 to make 7

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