State the place value and the total value of the digit 6 in the decimal 3.1468.

LCM ni 12.

• $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$
• $\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$
• $\frac{7}{12}$ (tayari ina dhehebu la 12)
• $\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$

Mpangilio wa kushuka ni: $\boxed{\frac{5}{6}, \frac{3}{4}, \frac{7}{12}, \frac{1}{2}}$

2. Calculate the sum: $\frac{1}{25} + \frac{3}{4}$.

LCM ni 100.

Jumla ni: $\boxed{\frac{79}{100}}$

3. Calculate the product: $\frac{5}{8} \times \frac{2}{32}$.

Bidhaa ni: $\boxed{\frac{5}{128}}$

4. Identify the reciprocal of the mixed number 3/47.
Kumbuka: "3/47" si nambari mchanganyiko, ni sehemu halisi. Tutachukulia inamaanisha sehemu $\frac{3}{47}$.

Kinyume cha $\frac{3}{47}$ ni $\frac{47}{3}$.

Kinyume ni: $\boxed{15 \frac{2}{3}}$

5. A piece of ribbon $\frac{9}{10}$ metres long is cut into pieces, each $\frac{3}{20}$ metres long. How many pieces of ribbon are there?

Kuna vipande: $\boxed{6}$

6. What are the next two terms in the number sequence: $\frac{1}{3}, \frac{2}{3}, 1, 1\frac{1}{3}, \dots$?

• $\frac{1}{3}$
• $\frac{2}{3}$
• $1 = \frac{3}{3}$
• $1\frac{1}{3} = \frac{4}{3}$ Inaonekana kila nambari inayofuata inapatikana kwa kuongeza $\frac{1}{3}$ kwa nambari iliyopita.

Nambari mbili zinazofuata ni: $\boxed{1\frac{2}{3}, 2}$

7. A student requires 3 metres of fabric for one uniform. If they have 541 metres of fabric, how many full uniforms can they make?

Mwanafunzi anaweza kutengeneza sare kamili 180.
Idadi ya sare kamili ni: $\boxed{180}$

Tarakimu 6 iko katika nafasi ya elfu (thousandths).

Thamani kamili ni $6 \times 0.001 = 0.006$.
Nafasi ya thamani ni elfu na thamani kamili ni: $\boxed{0.006}$

2. Multiply 14.7 by 5.

Bidhaa ni: $\boxed{73.5}$

3. Calculate the product: $2.4 \times 0.15$.

Bidhaa ni: $\boxed{0.36}$

4. Divide 7.2 by 0.9.

Jibu ni: $\boxed{8}$