Question

HELP ME NOW FOR BRAINLEST!!!!!!1

Answer 1

Answer:

    $84\frac{5}{9}$ ↔ $45\frac{2}{9}+39\frac{3}{9}$

     $6\frac{2}{9}$  ↔ $-24\frac{5}{9} + 30\frac{7}{9}$

$-23.24$ ↔ $28.98+(-52.22)$

$131.87$  ↔ $56.7+75.12$

Step-by-step explanation:

$84\frac{5}{9}$  and $45\frac{2}{9}+39\frac{3}{9}$

Convert $84\frac{5}{9}$ to an improper fraction.

To write  84  as a fraction with a common denominator, multiply by $\frac{9}{9}$  

Combine the numerators over the common denominator.

$\frac{84*9+5}{9}$

$\frac{756+ 5}{9}$

 $\frac{761}{9}$  = $45\frac{2}{9}+39\frac{3}{9}$

covert $45\frac{2}{9}$ to an improper fraction

Combine the numerators over the common denominator.

$\frac{761}{9}$ = $\frac{45*9+2}{9}$ + $39\frac{3}{9}$

$\frac{761}{9}$ = $\frac{407}{9}$ + $39\frac{3}{9}$

covert $39\frac{3}{9}$ to an improper fraction

Combine the numerators over the common denominator.

$\frac{761}{9}$ = $\frac{407}{9}$ + $\frac{39*9+3}{9}$

$\frac{761}{9}$ = $\frac{407}{9}$ + $\frac{354}{9}$ →$\frac{407+354}{9}$

$\frac{761}{9}$ = $\frac{761}{9}$

therefore the statement$84\frac{5}{9}$  = $45\frac{2}{9}+39\frac{3}{9}$  is true

$6\frac{2}{9}$  and $-24\frac{5}{9} + 30\frac{7}{9}$

Convert $6\frac{2}{9}$  to an improper fraction.

To write  6 as a fraction with a common denominator, multiply by  $\frac{9}{9}$

$\frac{6*9}{9} +\frac{2}{9}$ →$\frac{54+2}{9}$ → $\frac{56}{9}$

Convert  $-24\frac{5}{9}$  and $30\frac{7}{9}$ an improper fraction

$-24\frac{5}{9}$  → $-(\frac{24*9}{9} + \frac{5}{9} )$ → $-\frac{24*9+5}{9}$ → $-\frac{221}{9}$

$30\frac{7}{9}$  →  $\frac{30*9}{9} +\frac{7}{9}$ → $\frac{30*9+7}{9}$→ $\frac{277}{9}$

$\frac{56}{9}$ = $-\frac{221}{9}$ + $\frac{277}{9}$ →  

$\frac{56}{9}$ = $\frac{56}{9}$

therefore the statement $6\frac{2}{9}$  = $-24\frac{5}{9} + 30\frac{7}{9}$ is true

$28.98+(-52.22)$ and $-23.24$

$28.98 - 52.22$ → $-23.24$

$-23.24$  = $-23.24$

therefore the statement $28.98+(-52.22)$ = $-23.24$  is true

$131.87$  and  $56.7+75.12$

$56.7+75.12$ → $131.872$  

$131.87$  ≠ $131.872$  

therefore the statement $131.87$ = $56.7+75.12$ is False