Materi > Evaluasi Akademik SISA WAKTU : 44 MENIT 22 DETIK "Penyelenggaraan pelayanan publik dilakukan dengan menggunakan fasilitas dan sumber daya manusia yang dibiayai oleh warga negara melalui pajak yang mereka bayar" adalah prinsip... Akuntabel Berkeadilan Aksesibel Efektif dan efisien ← KEMBALI LANJUT SOAL KE 2 DARI 50
Answer (3)
when comparing fractions we need to bring the fractions to the same denominator to compare and see which is bigger or smaller. the denominators of the 3/4 and 11/16 are 4 and 16 respectively. we can mulitply both numerator and denominator of 3/4 by 4 so that the denominator is now 16, then the fraction 4 ∗ 4 3 ∗ 4 = 16 12
now we can compare the 2 fractions 12/16 and 11/16, when denominator is same then bigger numerator is the bigger fraction. therefore 3/4 is the greater fraction
Method 1 (Simplistic way): 3/4 can be represented as 12/16.
Now if we compare 12/16 with 11/16, we can see that 11 is less than 12 (cancelling 16). Hence 3/4 is greater than 11/16. Method 2 (Long method): The simplest method is to familiarize yourself with the division operation. For example:
If we have the following rational number: 8/4, the division tells us how many 4s are needed to make 8. In this case, there are 2 fours needed to make 8.
Likewise: 3/4: There are 0.75 fours needed to make 3 as 0.75 4 = 3. 11/16: There are 0.6875 sixteens needed to make 11 as 0.6875 16 = 11.
It means that 0.75 > 0.6875; therefore, 3/4 > 11/16.
4 3 is greater than 16 11 . This is confirmed by converting both fractions to a common denominator and by converting them to decimals. Since 11"> 12 > 11 and 0.6875"> 0.75 > 0.6875 , we can confidently say that \frac{11}{16}"> 4 3 > 16 11 .
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