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sergiy2304 [10]
2 years ago
10

Can someone please help me figure out what’s 18 3/4 as a decimal

Mathematics
2 answers:
dmitriy555 [2]2 years ago
7 0

Answer:

18.75

Step-by-step explanation:

If you covert this into a mixed fraction it would be 75/4 (4*18 is 72 then add the 3 in the numerator) then divide, 75/4 = 18.75 (sorry if explanation is bad)

Hitman42 [59]2 years ago
3 0

Solution:

<u>We know that:</u>

  • Given fraction: 18\frac{3}{4}

<em>Since the denominator is divisible by 100, we can solve this using an alternate way. </em>

<em>Step-1: Let's convert the mixed fraction into improper fraction. </em>

<u>Converting the mixed fraction to improper fraction:</u>

18\frac{3}{4} \\\\= \frac{(18 \times4) + 3}{4} \\\\= \frac{72 + 3}{4}  \\\\= \frac{75}{4}

<em>Step-2: Somehow, let's change the denominator to a 100.</em>

<u>Changing the denominator to a 100 using a proportion:</u>

\frac{75x}{4x} = \frac{75x}{100} \\\\ 4x = 100 \\\\ x = 25 \\\\ \bold{Check:} \\\\\frac{75 \times25}{4 \times 25} = \frac{75 \times 25}{100} \\\\ \frac{1875}{100} = \frac{1875}{100} \bold{(True)}

<em>Step-3: Adjust the decimal to the right place.</em>

<u>Adjusting the decimal to the right place:</u>

\frac{1875}{100} = 1875 \div 100 = 18.75

Since 100 has 2 zeros, the decimal shifted 2 places to the left.                                    

Thus, 18\frac{3}{4} in decimal form is 18.75.

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